Solvability of quasilinear elliptic equations in large dimensions

We study the solvability of quasilinear elliptic Dirchlet boundary-value problems. In particular, we show that if the dimension of the domain is large enough then the solution exists independent of the growth rate on right-hand side.

Bibliographic Details
Main Author: Oleg Zubelevich
Format: Article
Language:English
Published: Texas State University 2005-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/101/abstr.html