Existence and uniqueness of solutions for a semilinear elliptic system

We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particular case, the system reduces to the homogeneous Dirichlet problem for the biharmonic equation Δ2u=|u|p in a ball with p>0.

Saved in:
Bibliographic Details
Main Author: Robert Dalmasso
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.1507
Tags: Add Tag
No Tags, Be the first to tag this record!