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portada Stable Solutions of Elliptic Partial Differential Equations
Type
Physical Book
Publisher
Language
English
Pages
335
Format
Paperback
ISBN13
9780367382971
Edition No.
1

Stable Solutions of Elliptic Partial Differential Equations

Louis Dupaigne (Author) · Crc Pr Inc · Paperback

Stable Solutions of Elliptic Partial Differential Equations - Louis Dupaigne

Physical Book

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Synopsis "Stable Solutions of Elliptic Partial Differential Equations"

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.

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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.

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