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

Communications on Pure &amp Applied Analysis 2026 Open access

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Authors: Guangze Gu, Aleks Jevnikar
DOI: 10.3934/cpaa.2026053
Cited by: 0
References: 22

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Mathematical Modeling in Engineering Advanced Mathematical Physics Problems

Publication details

Journal / source
Communications on Pure &amp Applied Analysis
Volume
34
Issue
0
Pages
15–32
Publication date
1 January 2026
Language
EN