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

Calculus of Variations and Geometric Measure Theory

G. Gu - A. Jevnikar

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

created by jevnikar on 22 Sep 2025
modified on 02 Mar 2026

[BibTeX]

Accepted Paper

Inserted: 22 sep 2025
Last Updated: 2 mar 2026

Journal: Commun. Pure Appl. Anal.
Year: 2025

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.