𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the existence and stability of solutions for Dirichlet problem with -Laplacian

✍ Scribed by Marek Galewski

Book ID
108175539
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
143 KB
Volume
326
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence of solutions for p(x)-Laplacia
Existence of solutions for p(x)-Laplacian Dirichlet problem
✍ 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
Existence and uniqueness for the p(x)-Laplacian-Dirichlet problems
✍ 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

On an Approximate Solution of the Dirich
On an Approximate Solution of the Dirichlet Problem for the Generalized Laplacian
✍ Nikolai N. Tarkhanov πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 750 KB

## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ βŠ‚ R^n^, the Laplacian is defined by Ξ” = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _