Positive solutions for a class of fractional \(p\)-Laplacian equation with critical Sobolev exponent and decaying potentials

DOI10.1007/s10255-022-1090-8zbMath1489.35149OpenAlexW4226053953MaRDI QIDQ2125662

Na Li, Xiao-Ming He

Publication date: 14 April 2022

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1090-8

zbMATH Keywords

critical growthfractional \(p\)-Laplacianexistence, variational methods

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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An existence result for super-critical problems involving the fractional \(p\)-Laplacian in \(\mathbb{R}^N\)

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