Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\)

DOI10.1007/s00526-019-1502-7zbMath1415.35119OpenAlexW2924832198MaRDI QIDQ1732789

Giovany M. Figueiredo, Jeziel N. Correia

Publication date: 25 March 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-019-1502-7

zbMATH Keywords

positive solutionsfractional Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

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