eBook - PDF

Stable Solutions of Elliptic Partial Differential Equations

Name: Stable Solutions of Elliptic Partial Differential Equations
Author: Louis Dupaigne

Louis Dupaigne,

335 pages
English
PDF
Available on iOS & Android

eBook - PDF

Stable Solutions of Elliptic Partial Differential Equations

Louis Dupaigne,

About this book

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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Yes, you can access Stable Solutions of Elliptic Partial Differential Equations by Louis Dupaigne in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.