TY - BOOK AU - Dupaigne,Louis TI - Stable solutions of elliptic partial differential equations T2 - Monographs and surveys in pure and applied mathematics SN - 9781420066548 PY - 2011/// CY - Boca Raton, Fla. PB - Chapman and Hall/CRC KW - Differential equations, Elliptic N1 - "A Chapman & Hall book."; Includes bibliographical references (p. 303-317) and index; 1. Defining stability -- 2. The Gelfand problem -- 3. Extremal solutions -- 4. Regularity threory of stable solutions -- 5. Singular stable solutions -- 6. Liouville theorems for stable solutions -- 7. A conjecture of De Giorgi -- 8. Further readings; Also available as an electronic resource ER -