Existence and multiplicity of solutions for a general p(x)-Laplacian Neumann problem
β Scribed by Xiayang Shi; Xuanhao Ding
- Book ID
- 108216119
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 372 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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)
## Abstract In this paper we establish an existence theorem of strong solutions to a perturbed Neumann problem of the type equation image In particular, our solutions take their values in a fixed real interval. This latter fact allows us to state a multiplicity result assuming on __f__ an oscilla