## Abstract Two results on the existence and uniqueness for the __p__(__x__)βLaplacianβDirichlet problem β__div__(|β__u__|^__p__(__x__) β 2^β__u__) = __f__(__x__, __u__) in Ξ©, __u__ = 0 on βΞ©, are obtained. The first one deals with the case that __f__(__x__, __u__) is nonincreasing in __u__. The se
Existence of solutions for p(x)-Laplacian Dirichlet problem
β Scribed by Xian-Ling Fan; Qi-Hu Zhang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 124 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
This paper presents several su cient conditions for the existence of solutions for the Dirichlet problem of p(x)-Laplacian
Especially, an existence criterion for inΓΏnite many pairs of solutions for the problem is obtained. The discussion is based on the theory of the spaces L p(x) ( ) and W 1;p(x) 0 ( ).
π SIMILAR VOLUMES
In this paper we study the nonlinear elliptic problem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is where β¦ β R N is a bounded domain and p : β¦ β R is a continuous function satisfying some given assumptions. The approach used in this pap