Nonlinear Eigenvalue Problem for p-Laplacian in IRN
✍ Scribed by Pavel Drábek; Wolfgang Rother
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 319 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
The nonlinear eigenvalue problem for p-Laplacian -div (a(x)
is considered. We assume that 1 < p < N and that the functionfis of subcritical growth with respect to the variable u. The existence and C'."-regularity of the weak solution is proved.
📜 SIMILAR VOLUMES
We consider resonance problems at an arbitrary eigenvalue of the p-Laplacian, and prove the existence of weak solutions assuming a standard Landesman Lazer condition. We use variational arguments to characterize certain eigenvalues and then to establish the solvability of the given boundary value pr
In this paper we study the existence of nontrivial solutions for the problem < < py 2 N ⌬ u s u u in a bounded smooth domain ⍀ ; ޒ , with a nonlinear boundary p < < py 2 Ž . condition given by ٌu Ѩ urѨ s f u on the boundary of the domain. The proofs are based on variational and topological argumen