The positive solutions to a quasi-linear problem of fractional \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition

DOI10.1007/s11117-018-0551-zzbMath1394.35301OpenAlexW2784148184MaRDI QIDQ1670447

Massimiliano Ferrara, Liang-Liang Sun, Bin Ge, Ying-Xin Cui

Publication date: 5 September 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0551-z

zbMATH Keywords

nontrivial solutionlocal minimizersmountain-pass theoremfractional \(p\)-Laplacianquasi-linear

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11)

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Existence of two positive solutions for two kinds of fractional \(p\)-Laplacian equations

Cites Work

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