## Differential and Integral Equations

### Symmetric Palais-Smale conditions with applications to three solutions in two-bump domains

#### Abstract

In this article, we prove a necessary and sufficient condition for symmetric Palais-Smale conditions, then apply it to assert the existence of three positive solutions of the equation $(1.1)$ in an axially symmetric domain $D_{R}$ in which one is axially symmetric and the other two are nonaxially symmetric.

#### Article information

Source
Differential Integral Equations, Volume 16, Number 12 (2003), 1505-1518.

Dates
First available in Project Euclid: 21 December 2012