Existence of solutions for Choquard type elliptic problems with doubly critical nonlinearities

DOI10.1515/ANS-2019-2056zbMath1487.35012OpenAlexW3130119817MaRDI QIDQ2673467

Yansheng Shen

Publication date: 10 June 2022

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2019-2056

zbMATH Keywords

variational methodscritical nonlinearitiessingular elliptic equationHardy-Sobolev-Maz'ya type inequalitiesrefinement of Hardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30)

Related Items (4)

\(L^p\) Hardy's identities and inequalities for Dunkl operators ⋮ Multiple solutions of \(p\)-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents ⋮ Existence of solutions to elliptic problems with fractional p-Laplacian and multiple critical nonlinearities in the entire space \(\mathbb{R}^N\) ⋮ Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces

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