Existence and regularity results for critical (p,2)-Laplacian equation

Abstract

In this paper, we study a class of $ (p, 2) $-Laplacian equation with Hartree-type nonlinearity and critical exponents. Under some general assumptions and based on variational tools, we establish the existence, regularity, and symmetry of nontrivial solutions for such a problem.

Keywords

• (p，2)-laplacian equation
• hartree-type nonlinearity
• variational methods
• regularity and symmetry
• critical exponent