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# ðŸ“™ Stable solutions of elliptic partial differential equations by Dupaigne L. â€” free epub

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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.

## About book:

## About file:

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- Series:
**Monographs and Surveys in Pure and Applied Mathematics** - Author:
**Dupaigne L.** - Year:
**2011** - Publisher:
**CRC** - Language:
**English** - ISBN:
**1420066544,9781420066548**

- File size:
**3 186 357** - Format:
**pdf**

Security code:

This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial diffe...

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