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Geometric Function Theory and Non-Linear Analysis

Tadeusz Iwaniec

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A survey of recent developments in the field of non-linear analysis and the geometry of mappings. Sobolev mappings, quasiconformal mappings, or deformations, between subsets of Euclidean space, or manifolds or more general geometric objects may arise as the solutions to certain optimization problems in the calculus of variations or in non-linear elasticity, as the solutions to differential equations , as local co-ordinates on a manifold or as geometric realizations of abstract isomorphisms between spaces such as those that arise in dynamical systems . In each case the regularity and geometric properties of these mappings and related non-linear quantities such as Jacobians, tells something about the problems and the spaces under consideration.

Language: English

Pages: 568

Format: Hardcover

Publisher: Clarendon Press

Release: December 13, 2001

ISBN: 0198509294

ISBN 13: 9780198509295

Geometric Function Theory and Non-Linear Analysis

Tadeusz Iwaniec

0/5 ( ratings)

A survey of recent developments in the field of non-linear analysis and the geometry of mappings. Sobolev mappings, quasiconformal mappings, or deformations, between subsets of Euclidean space, or manifolds or more general geometric objects may arise as the solutions to certain optimization problems in the calculus of variations or in non-linear elasticity, as the solutions to differential equations , as local co-ordinates on a manifold or as geometric realizations of abstract isomorphisms between spaces such as those that arise in dynamical systems . In each case the regularity and geometric properties of these mappings and related non-linear quantities such as Jacobians, tells something about the problems and the spaces under consideration.

Language: English

Pages: 568

Format: Hardcover

Publisher: Clarendon Press

Release: December 13, 2001

ISBN: 0198509294

ISBN 13: 9780198509295

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