On a nonlocal problem with critical Sobolev growth

DOI10.1016/J.AML.2019.06.030zbMath1423.35418OpenAlexW2956061253MaRDI QIDQ2275232

Ji-xiu Wang

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.06.030

zbMATH Keywords

positive solutionsvariational methodsfractional Laplaciancritical Sobolev growth

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (1)

A fractional Laplacian problem with critical nonlinearity

Cites Work

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• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Critical growth quasilinear elliptic problems with shifting subcritical perturbation
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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