Multiplicity result for a class of elliptic problems with non-differentiable terms in [formula omitted

Abstract

Using non-smooth critical point theory, and a multiplicity result based on local linking (the original smooth version is due to Brezis and Nirenberg), we prove the existence of multiple solutions for a class of Schrödinger type systems with non-differentiable terms in R N . In addition, we give two examples to illustrate our multiplicity result.