Variational, Topological, and Partial Order Methods with Their Applications

Variational, Topological, and Partial Order Methods with Their Applications

Author: Zhitao Zhang

Publisher: Springer Science & Business Media

Published: 2012-09-17

Total Pages: 333

ISBN-13: 3642307094

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Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis.


Book Synopsis Variational, Topological, and Partial Order Methods with Their Applications by : Zhitao Zhang

Download or read book Variational, Topological, and Partial Order Methods with Their Applications written by Zhitao Zhang and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis.

Variational, Topological, and Partial Order Methods with Their Applications

Variational, Topological, and Partial Order Methods with Their Applications

Author: Zhitao Zhang

Publisher: Springer Science & Business Media

Published: 2012-09-18

Total Pages: 333

ISBN-13: 3642307086

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Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis.


Book Synopsis Variational, Topological, and Partial Order Methods with Their Applications by : Zhitao Zhang

Download or read book Variational, Topological, and Partial Order Methods with Their Applications written by Zhitao Zhang and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis.

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Author: Dumitru Motreanu

Publisher: Springer

Published: 2016-08-23

Total Pages: 0

ISBN-13: 9781493944743

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This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.


Book Synopsis Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems by : Dumitru Motreanu

Download or read book Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems written by Dumitru Motreanu and published by Springer. This book was released on 2016-08-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

Economic Networks

Economic Networks

Author: Thomas J. Sargent

Publisher: Cambridge University Press

Published: 2024-04-30

Total Pages: 265

ISBN-13: 1009456350

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A rigorous and unified treatment of economic networks, from foundational theory to recent applications.


Book Synopsis Economic Networks by : Thomas J. Sargent

Download or read book Economic Networks written by Thomas J. Sargent and published by Cambridge University Press. This book was released on 2024-04-30 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and unified treatment of economic networks, from foundational theory to recent applications.

An Introduction to Minimax Theorems and Their Applications to Differential Equations

An Introduction to Minimax Theorems and Their Applications to Differential Equations

Author: Maria do Rosário Grossinho

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 279

ISBN-13: 1475733089

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The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax theorems, To give applications to elliptic differential equations in bounded domains, To consider the dual variational method for problems with continuous and discontinuous nonlinearities, To present some elements of critical point theory for locally Lipschitz functionals and give applications to fourth-order differential equations with discontinuous nonlinearities, To study homoclinic solutions of differential equations via the variational methods. The contents of the book consist of seven chapters, each one divided into several sections. Audience: Graduate and post-graduate students as well as specialists in the fields of differential equations, variational methods and optimization.


Book Synopsis An Introduction to Minimax Theorems and Their Applications to Differential Equations by : Maria do Rosário Grossinho

Download or read book An Introduction to Minimax Theorems and Their Applications to Differential Equations written by Maria do Rosário Grossinho and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax theorems, To give applications to elliptic differential equations in bounded domains, To consider the dual variational method for problems with continuous and discontinuous nonlinearities, To present some elements of critical point theory for locally Lipschitz functionals and give applications to fourth-order differential equations with discontinuous nonlinearities, To study homoclinic solutions of differential equations via the variational methods. The contents of the book consist of seven chapters, each one divided into several sections. Audience: Graduate and post-graduate students as well as specialists in the fields of differential equations, variational methods and optimization.

Nonlinear Second Order Elliptic Equations

Nonlinear Second Order Elliptic Equations

Author: Mingxin Wang

Publisher: Springer Nature

Published:

Total Pages: 319

ISBN-13: 9819986923

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Book Synopsis Nonlinear Second Order Elliptic Equations by : Mingxin Wang

Download or read book Nonlinear Second Order Elliptic Equations written by Mingxin Wang and published by Springer Nature. This book was released on with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods in Partially Ordered Spaces

Variational Methods in Partially Ordered Spaces

Author: Alfred Göpfert

Publisher: Springer Science & Business Media

Published: 2003-07-30

Total Pages: 359

ISBN-13: 0387004521

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Concrete applications with solution procedures are discussed, along with corresponding software. Throughout the entire book, there are examples used to illustrate the results and check the stated conditions." "This book will be of interest to graduate students and researchers interested in pure and applied mathematics, economics, and engineering. All that is required is a sound knowledge of linear algebra and introductory real analysis. While this book contains much new research, the material is presented in a clear, and teachable manner."--Jacket.


Book Synopsis Variational Methods in Partially Ordered Spaces by : Alfred Göpfert

Download or read book Variational Methods in Partially Ordered Spaces written by Alfred Göpfert and published by Springer Science & Business Media. This book was released on 2003-07-30 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concrete applications with solution procedures are discussed, along with corresponding software. Throughout the entire book, there are examples used to illustrate the results and check the stated conditions." "This book will be of interest to graduate students and researchers interested in pure and applied mathematics, economics, and engineering. All that is required is a sound knowledge of linear algebra and introductory real analysis. While this book contains much new research, the material is presented in a clear, and teachable manner."--Jacket.

Recent Trends in Nonlinear Partial Differential Equations

Recent Trends in Nonlinear Partial Differential Equations

Author: Patrizia Pucci

Publisher: American Mathematical Soc.

Published: 2013

Total Pages: 340

ISBN-13: 0821898612

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This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations. In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume. The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.


Book Synopsis Recent Trends in Nonlinear Partial Differential Equations by : Patrizia Pucci

Download or read book Recent Trends in Nonlinear Partial Differential Equations written by Patrizia Pucci and published by American Mathematical Soc.. This book was released on 2013 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations. In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume. The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Author: Dumitru Motreanu

Publisher: Springer Science & Business Media

Published: 2013-11-19

Total Pages: 465

ISBN-13: 1461493234

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This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.


Book Synopsis Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems by : Dumitru Motreanu

Download or read book Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

Evolution Equations, Semigroups and Functional Analysis

Evolution Equations, Semigroups and Functional Analysis

Author: Alfredo Lorenzi

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 404

ISBN-13: 3034882211

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Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.


Book Synopsis Evolution Equations, Semigroups and Functional Analysis by : Alfredo Lorenzi

Download or read book Evolution Equations, Semigroups and Functional Analysis written by Alfredo Lorenzi and published by Birkhäuser. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.