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Existence of two nontrivial solutions for a class of elliptic eigenvalue problems

โœ Scribed by S. A. Marano; D. Motreanu

Publisher
Springer
Year
2000
Tongue
English
Weight
78 KB
Volume
75
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES

Existence of three solutions for a class
Existence of three solutions for a class of elliptic eigenvalue problems
โœ B. Ricceri ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 726 KB

## In this paper, we consider a problem of the type -AU = X(j(u)+pg(u)) in R, ~10~ = 0, where R c R" is an open-bounded set, f,g are continuous real functions on Fl, and X,/J E R. As an application of a new approach to nonlinear eigenvalues problems, we prove that, under suitable hypotheses, if 1

Existence of multiple nontrivial solutio
Existence of multiple nontrivial solutions for semilinear elliptic problems
โœ A.R. El Amrouss; F. Moradi; M. Moussaoui ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.