Shapour Heidarkhani - Department of Mathematics, Faculty of Sciences, Razi University, ۶۷۱۴۹ Kermanshah, Iran
Ahmad Ghobadi - Department of Mathematics, Faculty of Sciences, Razi University, ۶۷۱۴۹ Kermanshah, Iran

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.

Variational methods, Heisenberg group, Folland-Stein space