On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent

Abstract

In this paper we use variational methods to establish the existence of solutions for a class of nonlinear elliptic problems involving a combined convolution-type and Hardy nonlinearity with subcritical and critical growth.

20 pages

References in corpus (3)

• Multiple solutions to a magnetic nonlinear Choquard equation
• A Nonlinear Elliptic PDE with Two Sobolev-Hardy Critical Exponents
• A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents