SOLUTIONS OF ELLIPTIC-EQUATIONS WITH INDEFINITE NONLINEARITIES VIA MORSE-THEORY AND LINKING

Authors
ALAMA S DELPINO M
Citation
S. Alama et M. Delpino, SOLUTIONS OF ELLIPTIC-EQUATIONS WITH INDEFINITE NONLINEARITIES VIA MORSE-THEORY AND LINKING, Annales de l Institut Henri Poincare. Analyse non lineaire, 13(1), 1996, pp. 95-115
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
13
Issue
1
Year of publication
1996
Pages
95 - 115
Database
ISI
SICI code
0294-1449(1996)13:1<95:SOEWIN>2.0.ZU;2-6
Abstract
We consider the Dirichlet problem for the equation -Delta u = lambda u + h(x)f(u), with h changing sign. In particular, we study existence o f nontrivial solutions in the case where f has superlinear growth, but is not assumed to be odd, Two different approaches are used: one invo lving Morse theory and one using min-max methods.