STABLE SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS by Louis Dupaigne, Haim Brezis ( 9781420066548 )

Item Details

Title:

STABLE SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

By:

Louis Dupaigne, Haim Brezis

Format:

Hardback

List price:

£175.00

Our price:

£157.50

Discount:

10% off

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£17.50

ISBN 10:

1420066544

ISBN 13:

9781420066548

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Publisher:

TAYLOR & FRANCIS LTD

Series:

Monographs and Surveys in Pure and Applied Mathematics 143

Pages:

335

Description:

Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics and geometry. This book offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs).

Synopsis:

Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.

Illustrations:

11 black & white illustrations

Publication:

Imprint:

Chapman & Hall/CRC

Returns:

Returnable

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