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Existence of nontrivial solutions for a semilinear elliptic problem with supercritical exponent

✍ Scribed by Norimichi Hirano


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
245 KB
Volume
55
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Existence of multiple nontrivial solutio
✍ A.R. El Amrouss; F. Moradi; M. Moussaoui πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 634 KB

The aim of this paper is to prove the existence of multiple nontrivial solutions to a semilinear elliptic problem at resonance. The proofs used here are based on combining the Morse theory and the minimax methods.

Multiple existence of solutions for a se
✍ Norimichi Hirano πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 350 KB

Let N 7, 2 \* =2N/(N -2) and βŠ‚ R N be a bounded domain with a smooth boundary j and a : -β†’ R is a continuous mapping. In this paper we consider the existence and multiplicity of positive solutions of Dirichlet boundary value problem of the form -%(a(y)%u) = |u| 2 \* -2 u, u ∈ H 1 0 ( ).