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Existence and multiplicity of solutions for a general p(x)-Laplacian Neumann problem

✍ 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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πŸ“œ SIMILAR VOLUMES


Existence of solutions for p(x)-Laplacia
✍ Xian-Ling Fan; Qi-Hu Zhang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 124 KB

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)

Existence and multiplicity of solutions
✍ Giovanni Anello πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 151 KB

## 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