Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27)

Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27)

Author: Jon T. Pitts

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 337

ISBN-13: 1400856450

DOWNLOAD EBOOK

Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Book Synopsis Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27) by : Jon T. Pitts

Download or read book Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27) written by Jon T. Pitts and published by Princeton University Press. This book was released on 2014-07-14 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Existence and Regularity of Minimal Surfaces on Riemannian Manifolds

Existence and Regularity of Minimal Surfaces on Riemannian Manifolds

Author: Jon T. Pitts

Publisher:

Published: 1981

Total Pages: 338

ISBN-13: 9780598051547

DOWNLOAD EBOOK


Book Synopsis Existence and Regularity of Minimal Surfaces on Riemannian Manifolds by : Jon T. Pitts

Download or read book Existence and Regularity of Minimal Surfaces on Riemannian Manifolds written by Jon T. Pitts and published by . This book was released on 1981 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regularity of Minimal Surfaces

Regularity of Minimal Surfaces

Author: Ulrich Dierkes

Publisher: Springer Science & Business Media

Published: 2010-08-16

Total Pages: 634

ISBN-13: 3642117007

DOWNLOAD EBOOK

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.


Book Synopsis Regularity of Minimal Surfaces by : Ulrich Dierkes

Download or read book Regularity of Minimal Surfaces written by Ulrich Dierkes and published by Springer Science & Business Media. This book was released on 2010-08-16 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.

Geometric Measure Theory and the Calculus of Variations

Geometric Measure Theory and the Calculus of Variations

Author: William K. Allard

Publisher: American Mathematical Soc.

Published: 1986

Total Pages: 482

ISBN-13: 0821814702

DOWNLOAD EBOOK

Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.


Book Synopsis Geometric Measure Theory and the Calculus of Variations by : William K. Allard

Download or read book Geometric Measure Theory and the Calculus of Variations written by William K. Allard and published by American Mathematical Soc.. This book was released on 1986 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.

Minimal Surfaces in Riemannian Manifolds

Minimal Surfaces in Riemannian Manifolds

Author: Min Ji

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 63

ISBN-13: 0821825607

DOWNLOAD EBOOK

A multiple solution theory to the Plateau problem in a Riemannian manifold is established. In [italic capital]S[superscript italic]n, the existence of two solutions to this problem is obtained. The Morse-Tompkins-Shiffman Theorem is extended to the case when the ambient space admits no minimal sphere.


Book Synopsis Minimal Surfaces in Riemannian Manifolds by : Min Ji

Download or read book Minimal Surfaces in Riemannian Manifolds written by Min Ji and published by American Mathematical Soc.. This book was released on 1993 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: A multiple solution theory to the Plateau problem in a Riemannian manifold is established. In [italic capital]S[superscript italic]n, the existence of two solutions to this problem is obtained. The Morse-Tompkins-Shiffman Theorem is extended to the case when the ambient space admits no minimal sphere.

Regularity of Minimal Surfaces

Regularity of Minimal Surfaces

Author: Ulrich Dierkes

Publisher: Springer

Published: 2010-09-30

Total Pages: 623

ISBN-13: 9783642116995

DOWNLOAD EBOOK

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.


Book Synopsis Regularity of Minimal Surfaces by : Ulrich Dierkes

Download or read book Regularity of Minimal Surfaces written by Ulrich Dierkes and published by Springer. This book was released on 2010-09-30 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.

Mathematical Congress of the Americas

Mathematical Congress of the Americas

Author: Jimmy Petean

Publisher: American Mathematical Soc.

Published: 2016-01-25

Total Pages: 214

ISBN-13: 1470423103

DOWNLOAD EBOOK

This volume contains the proceedings of the First Mathematical Congress of the Americas, held from August 5-9, 2013, in Guanajuato, México. With the participation of close to 1,000 researchers from more than 40 countries, the meeting set a benchmark for mathematics in the two continents. The papers, written by some of the plenary and invited speakers, as well as winners of MCA awards, cover new developments in classic topics such as Hopf fibrations, minimal surfaces, and Markov processes, and provide recent insights on combinatorics and geometry, isospectral spherical space forms, homogenization on manifolds, and Lagrangian cobordism, as well as applications to physics and biology.


Book Synopsis Mathematical Congress of the Americas by : Jimmy Petean

Download or read book Mathematical Congress of the Americas written by Jimmy Petean and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the First Mathematical Congress of the Americas, held from August 5-9, 2013, in Guanajuato, México. With the participation of close to 1,000 researchers from more than 40 countries, the meeting set a benchmark for mathematics in the two continents. The papers, written by some of the plenary and invited speakers, as well as winners of MCA awards, cover new developments in classic topics such as Hopf fibrations, minimal surfaces, and Markov processes, and provide recent insights on combinatorics and geometry, isospectral spherical space forms, homogenization on manifolds, and Lagrangian cobordism, as well as applications to physics and biology.

The Publishers' Trade List Annual

The Publishers' Trade List Annual

Author:

Publisher:

Published: 1986

Total Pages: 1186

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis The Publishers' Trade List Annual by :

Download or read book The Publishers' Trade List Annual written by and published by . This book was released on 1986 with total page 1186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of Symposia in Pure Mathematics

Proceedings of Symposia in Pure Mathematics

Author:

Publisher:

Published: 1986

Total Pages: 490

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Proceedings of Symposia in Pure Mathematics by :

Download or read book Proceedings of Symposia in Pure Mathematics written by and published by . This book was released on 1986 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regularity of Minimal Surfaces

Regularity of Minimal Surfaces

Author: Ulrich Dierkes

Publisher: Springer

Published: 2010-11-05

Total Pages: 623

ISBN-13: 9783642117534

DOWNLOAD EBOOK

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.


Book Synopsis Regularity of Minimal Surfaces by : Ulrich Dierkes

Download or read book Regularity of Minimal Surfaces written by Ulrich Dierkes and published by Springer. This book was released on 2010-11-05 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.