𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotically linear Dirichlet problem for the p-Laplacian

✍ Scribed by Gongbao Li; Huan-Song Zhou


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
107 KB
Volume
43
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Multiplicity theorems for the Dirichlet
✍ Gabriele Bonanno; Roberto Livrea πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 98 KB

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.

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 uniqueness for the p(x)-La
✍ Xianling Fan πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 140 KB

## Abstract Two results on the existence and uniqueness for the __p__(__x__)‐Laplacian‐Dirichlet problem βˆ’__div__(|βˆ‡__u__|^__p__(__x__) βˆ’ 2^βˆ‡__u__) = __f__(__x__, __u__) in Ξ©, __u__ = 0 on βˆ‚Ξ©, are obtained. The first one deals with the case that __f__(__x__, __u__) is nonincreasing in __u__. The se

Asymptotic approximation of eigenelement
✍ Youcef Amirat; Gregory A. Chechkin; Rustem R. Gadyl'shin πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 383 KB

## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a two‐dimensional 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