A-PRIORI REGULARITY FOR WEAK SOLUTIONS OF SOME NONLINEAR ELLIPTIC-EQUATIONS

Authors
PACARD F
Citation
F. Pacard, A-PRIORI REGULARITY FOR WEAK SOLUTIONS OF SOME NONLINEAR ELLIPTIC-EQUATIONS, Annales de l Institut Henri Poincare. Analyse non lineaire, 11(6), 1994, pp. 693-703
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
11
Issue
6
Year of publication
1994
Pages
693 - 703
Database
ISI
SICI code
0294-1449(1994)11:6<693:ARFWSO>2.0.ZU;2-K
Abstract
Let f(u) be some positive regular function bounded from above by u n/n -2, in R+. We derive some necessary and sufficient conditions, in orde r for all positive solutions to -DELTAu = f(u) is-an-element-of L(loc) 1 (R(n)) to be regular.