On doubly critical coupled systems involving fractional Laplacian with partial singular weight

DOI10.1002/MMA.7637zbMath1479.35931arXiv2003.08826OpenAlexW3186996383MaRDI QIDQ5015811

Tao Yang

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08826

zbMATH Keywords

doubly critical exponentsimproved Sobolev inequalitypartial singular weightpartially weighted Morrey space

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Critical fractional \(p\)-Laplacian system with negative exponents ⋮ The Brezis–Nirenberg problem for fractional systems with Hardy potentials ⋮ Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities ⋮ A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms

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