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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2026Embargo end date: 01 Jan 2025Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Communications on Pure and Applied Analysis, volume 0, pages 0-0 (issn: 1534-0392, eissn: 1553-5258,

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Authors: Gu, Guangze; Jevnikar, Aleks;

doi: 10.3934/cpaa.2026053 , 10.48550/arxiv.2509.15806

arXiv: 2509.15806

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

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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

Related Organizations

University of Udine
Italy

Keywords

Analysis of PDEs, FOS: Mathematics, 35A15, 35J20, 35R11, 47G20, Analysis of PDEs (math.AP)

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