Multiplicity result for a class of elliptic problems with non-differentiable terms in RNRN

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 RNRN. In addition, we give two examples to illustrate our multiplicity result.