Singular p-biharmonic problems involving the Hardy-Sobolev exponent

Abstract

This article concerns the existence and multiplicity of solutions for the singular p-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. To this end we use variational methods combined with the Mountain pass theorem and the Ekeland variational principle. We illustrate the usefulness of our results with and example. For mote information see https://ejde.math.txstate.edu/Volumes/2023/61/abstr.html