Asymptotically linear Dirichlet problem for the p-Laplacian
β Scribed by Gongbao Li; Huan-Song Zhou
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 107 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we establish some results on the existence of at least three weak solutions for Dirichlet problems involving the p-Laplacian by a variational approach.
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 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
## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a twoβdimensional bounded domain with thin shoots, depending on a small parameter Ξ΅. Under the assumption that the width of the shoots goes to zero, as Ξ΅ tends to zero, we construct the l