p‐Biharmonic Equation Involving Choquard Nonlinearity

ABSTRACT In this article, we study the ‐biharmonic equation involving Choqurd type nonlinearity with sign‐changing weight functions in a bounded domain with Dirichlet boundary condition. Using the Nehari manifold and fibering map analysis, we show the multiplicity results in subcritical case and existence results in critical case with respect to parameter . Moreover, we explore the concentration‐compactness principle for ‐biharmonic Choquard equation in critical case. The results obtained here are also new in case of ‐Laplacian.