Document Type : Research Paper

Authors

• Shapour Heidarkhani
• Ahmad Ghobadi

Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran

Abstract

In this paper, using variational methods and critical point theory we establish the existence of multiple solutions for a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. Some recent results are extended and improved.

Keywords

• Variational methods
• Heisenberg group
• Folland-Stein space