Stable Solutions of Elliptic Partial Differential Equations: 1st Edition (e-Book) book cover

Stable Solutions of Elliptic Partial Differential Equations

1st Edition

By Louis Dupaigne

Chapman and Hall/CRC

335 pages

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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 (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presen

Table of Contents

Defining Stability. The Gelfand Problem. Extremal Solutions. Regularity Theory of Stable Solutions. Singular Stable Solutions. Liouville Theorems for Stable Solutions. A Conjecture of E De Giorgi. Further Readings. Appendices. References. Index.

About the Author

Louis Dupaigne is an assistant professor at Universite Picardie Jules Verne in Amiens, France.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations
SCI040000
SCIENCE / Mathematical Physics