Existence of asymptotically linear Dirichlet problem
β Scribed by Huan-Song Zhou
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 106 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
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)
We consider the problem of multiple existence of 2 -periodic weak solutions to wave equations u(x, t)= h(x, t, u(x, t))+f (x, t) of space dimension 1, where h(x, t, ) is asymptotically linear in both as β 0 and as | | β β. It is shown by variational methods that there exist at least three solutions