The existence of a nontrivial weak solution to a double critical problem involving a fractional Laplacian in \(\mathbb{R}^N\) with a Hardy term

DOI10.1007/s10473-020-0613-8zbMath1499.35661arXiv1908.02536OpenAlexW3091854095MaRDI QIDQ2151973

Gongbao Li, Tao Yang

Publication date: 5 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02536

zbMATH Keywords

existence of a weak solutionfractional Laplacianweighted Morrey spaceHardy termdouble critical exponentsimproved Sobolev inequality

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Related Items (6)

Slow manifold and parameter estimation for a nonlocal fast-slow dynamical system with Brownian motion ⋮ A fractional critical problem with shifting subcritical perturbation ⋮ The asymptotic behavior and symmetry of positive solutions to \(p\)-Laplacian equations in a half-space ⋮ On a super polyharmonic property of a higher-order fractional Laplacian ⋮ Fractional \(p\)-Laplacian problem with critical Stein-Weiss type term ⋮ Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms

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