Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz'ya potential and critical nonlinearities

DOI10.1186/s13661-017-0912-8zbMath1378.35006OpenAlexW2775228500WikidataQ59515364 ScholiaQ59515364MaRDI QIDQ1689771

Chun-Yu Lei, Zhipeng Cai, Chang-Mu Chu

Publication date: 17 January 2018

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0912-8

zbMATH Keywords

positive solutionfractional operatorcritical nonlinearitiesHardy-Sobolev-Maz'ya potential

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

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Existence of solutions for Choquard type elliptic problems with doubly critical nonlinearities ⋮ Intrinsic square function characterizations of weak Musielak-Orlicz Hardy spaces ⋮ A global multiplicity result for a very singular critical nonlocal equation

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