A quasilinear Neumann problem involving the -Laplacian
β Scribed by Danila Sandra Moschetto
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 386 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the eigenvalues of the p(x)-Laplacian operator with zero Neumann boundary condition on a bounded domain, where p(x) is a continuous function defined on the domain with p(x) > 1. We show that, similarly to the p-Laplacian case, the smallest eigenvalue of the problem is 0 and it is simple, an
## Abstract In this paper we study a quasilinear boundary value problem of Neumann type with discontinuous terms. In particular we consider a problem in which the __p__βLaplacian is involved. In order to prove the existence of solutions we replace this problem with a multivalued approximation of it