๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Multiple existence of sign changing solutions for semilinear elliptic problems on RN

โœ Scribed by Norimichi Hirano

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
206 KB
Volume
46
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

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.

Multiple existence of sign changing solu
Multiple existence of sign changing solutions for a nonlinear elliptic problem
โœ Norimichi Hirano ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 503 KB

Let N โ‰ฅ 3, 2 < p < 2 \* = 2N /(N -2), ฮต > 0 and โ„ฆ be a bounded domain with a smooth boundary โˆ‚โ„ฆ . Our purpose in this paper is to consider the multiple existence of sign changing solutions of the problem

Fucik Spectrum, Sign-Changing, and Multi
Fucik Spectrum, Sign-Changing, and Multiple Solutions for Semilinear Elliptic Boundary Value Problems with Resonance at Infinity
โœ E.N. Dancer; Zhitao Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

In this paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and