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

Purchasing Options:$ = USD
Paperback: 9780367382971
pub: 2019-07-31
SAVE ~$14.99
Available for pre-order
Hardback: 9781420066548
pub: 2011-03-15
SAVE ~$22.00
eBook (VitalSource) : 9780429150340
pub: 2011-03-15
from $28.98

FREE Standard Shipping!


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:
MATHEMATICS / Differential Equations
SCIENCE / Mathematical Physics