Nonlocal elliptic systems involving critical Sobolev-Hardy exponents and concave-convex nonlinearities

DOI10.11650/tjm/190109zbMath1427.35038OpenAlexW2915283372MaRDI QIDQ2279396

Jinguo Zhang, Tsing-San Hsu

Publication date: 12 December 2019

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1551150033

zbMATH Keywords

multiple positive solutionsfractional LaplacianHardy potentialconcave-convex nonlinearitiesfractional critical Sobolev-Hardy exponent

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (6)

Existence results for a Kirchhoff-type equations involving the fractional \(p_1(x)\) \& \(p_2(x)\)-Laplace operator ⋮ Existence of solutions to Kirchhoff type equations involving the nonlocal p₁& … &p_m fractional Laplacian with critical Sobolev-Hardy exponent ⋮ Existence and multiplicity of positive solutions to sub-elliptic systems with multiple critical exponents on Carnot groups ⋮ Fractional \(p\)-sub-Laplacian operator problem with concave-convex nonlinearities on homogeneous groups ⋮ Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms ⋮ MULTIPLE SOLUTIONS FOR A FRACTIONAL LAPLACIAN SYSTEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS AND HOMOGENEOUS TERM

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