Multiple existence of solutions for a nonhomogeneous elliptic problem on
โ Scribed by Norimichi Hirano; Wan Se Kim
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 254 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let N โฅ 3, 2 < p < 2 \* = 2N /(N -2), ฮต > 0 and โฆ be a bounded domain with a smooth boundary โโฆ . Our purpose in this paper is to consider the multiple existence of sign changing solutions of the problem
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.
Let N 7, 2 \* =2N/(N -2) and โ R N be a bounded domain with a smooth boundary j and a : -โ 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 โ H 1 0 ( ).