On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation

We are concerned with the existence of two solutions for a fully nonlinear Emden-Fowler type equation. One solution is obtained via local minimization while the second solution follows by a mountain pass argument. A non-existence result in strictly star-shaped domains is also proven.

Bibliographic Details
Main Author: Marco Squassina
Format: Article
Language:English
Published: Texas State University 2001-10-01
Series:Electronic Journal of Differential Equations
Online Access:http://ejde.math.txstate.edu/Volumes/2001/63/abstr.html