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arXiv · 2412.12950

Nonlocal Choquard equations involving critical Hardy-Littlewood-Sobolev exponent: the effect of the topology of the domain

Mohammed Ali Mohammed Alghamdi·Hichem Chtioui
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Abstract

We apply a topological method to prove existence of positive solutions for the nonlineair Choquard equation with upper critical exponent in the sense of Hardy-Littlewood-Sobolev inquality on bounded domains having nontrivial homology group.

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Mohammed Ali Mohammed Alghamdi, Hichem Chtioui. 2024-12-17. Nonlocal Choquard equations involving critical Hardy-Littlewood-Sobolev exponent: the effect of the topology of the domain. https://arxiv.org/abs/2412.12950

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