Mountain pass solutions for a system of differential equations with Dirichlet boundary condition

Abstract

In this article, the Dirichlet problem for a class of quasilinear differential equation systems is studied. Existence results are given by combining the dual least action principle and mountain pass theorem.

Keywords:

• Mountain Pass Theorem
• Quasilinear
• Dirichlet boundary condition
• The dual least action principle

Keywords:

• AMS 2000 Mathematics Subject Classifications: 34B10
• 34B15

Acknowledgement

Supported by grant 10371006 from National Natural Sciences Foundation of PR China and grant 20050007011 from Foundation for PhD Specialities of Educational Department of PR China.