Three solutions for a fractional elliptic problem with critical and supercritical growth

DOI10.1016/S0252-9602(16)30108-4zbMath1374.35166arXiv1404.7361OpenAlexW1663439494MaRDI QIDQ2362935

Jinguo Zhang, Xiaochun Liu

Publication date: 14 July 2017

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7361

zbMATH Keywords

variational methodsfractional elliptic equationMoser iterationthree solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

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Multiplicity of positive solutions for fractional Laplacian equations involving critical nonlinearity ⋮ Unnamed Item ⋮ (Super)critical nonlocal equations with periodic boundary conditions ⋮ Fractional \(p\)-sub-Laplacian operator problem with concave-convex nonlinearities on homogeneous groups ⋮ MULTIPLE SOLUTIONS FOR A FRACTIONAL LAPLACIAN SYSTEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS AND HOMOGENEOUS TERM

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