Stable Solutions of Elliptic Partial Differential Equations

Name: Stable Solutions of Elliptic Partial Differential Equations
Brand: CRC Press

CRC Press

Stable Solutions of Elliptic Partial Differential EquationsAuthor(s): Louis Dupaigne\nFormat: Paperback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: Chapman & Hall/CRC\nISBN-13: 9780367382971, 978-0367382971\nSynopsis\nStable 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). \n\nStable 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 standa.