Volume no :7, Issue no: 1, January (2011)

THE EXISTENCE OF LEAST ENERGY SOLUTION FOR A SINGULARLY PERTURBED EQUATION

Author's: Jing Zeng and Yongqing Li
Pages: [69] - [85]
Received Date: January 5, 2011
Submitted by:

Abstract

In this paper, we study the existence of least energy solution of nonlinear singularly perturbed equation



under a super-quadratic condition, which is weaker than the Ambrosetti-Rabinwitz condition. We also give asymptotic expansion for critical value of corresponding functional.

Keywords

singularly perturbed equation, least energy solution, asymptotic expansion, critical value.