Existence and multiplicity of positive solutions to fractional Laplacian systems with combined critical Sobolev terms

DOI10.1007/s11117-021-00822-9zbMath1479.35910OpenAlexW3134738835MaRDI QIDQ2055391

Abolfazl Behzadi, Vincenzo Ambrosio, Nemat Nyamoradi, Shahla Amiri

Publication date: 1 December 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-021-00822-9

zbMATH Keywords

variational methodconcentration-compactness principleNehari manifoldnon-local Laplacian operators

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (2)

\(p\)-Laplacian type equations via mountain pass theorem in Cerami sense ⋮ Solutions of the mean curvature equation with the Nehari manifold

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