PAIRS OF SOLUTIONS OF ASYMPTOTICALLY LINEAR ELLIPTIC PROBLEMS

TitlePAIRS OF SOLUTIONS OF ASYMPTOTICALLY LINEAR ELLIPTIC PROBLEMS
Publication TypeJournal Article
Year of Publication2009
AuthorsDE PAIVA, FRANCISCOODAIR
Volume13
Issue3
Start Page375
Pagination9
Date Published2009
ISSN1083-2564
AMS35J20, 35J65
Abstract

We establish the existence of two nontrivial solutions for the semilinear elliptic problem $${\text{-}\Delta\ u=g(x,u) \text{ } \text {in} \text{ } \Omega }$$ $${ \ u=0       \text{            } \text{on} \text{ } \partial \Omega \text{,} }$$ where Ω ⊂ RN is a smooth bounded domain, g ∈ C1 (Ω × R \ {0}, R) is such that g(x, 0)= 0 and asymptotically linear. Our proofs are based on minimax methods and critical groups.

URLhttp://www.acadsol.eu/en/articles/13/3/8.pdf
Refereed DesignationRefereed
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