Remarks on the existence of infinitely many solutions for a $p$-Laplacian equation involving oscillatory nonlinearities

Abstract

In this paper, we study the existence of infinitely many solutions for an elliptic problem with the nonlinearity having an oscillatory behavior. We propose more general assumptions on the nonlinear term which improve the results occurring in the literature.

Keywords

• $p$-laplacian
• variational methods
• infinitely many solutions