Non-critical dimensions for critical problems involving fractional Laplacians

DOI10.4171/RMI/885zbMath1479.35924arXiv1311.1788MaRDI QIDQ268247

Roberta Musina, Alexander I. Nazarov

Publication date: 14 April 2016

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1788

zbMATH Keywords

critical nonlinearityfractional LaplacianBrezis-Nirenberg problem

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (4)

Fractional Hardy-Sobolev inequalities on half spaces ⋮ On fractional Laplacians – 3 ⋮ Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity ⋮ On the structure of the nodal set and asymptotics of least energy sign-changing radial solutions of the fractional Brezis-Nirenberg problem

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