Multiplicity of positive solutions for critical fractional equation involving concave-convex nonlinearities and sign-changing weight functions

DOI10.1007/S00009-016-0754-0zbMathNoneOpenAlexW2464126760MaRDI QIDQ346923

Chang-Mu Chu, Hong-Min Suo, Jiao-Jiao Sun

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-016-0754-0

zbMATH Keywords

variational methodscritical exponentfractional Laplaciansign-changing weight functionsconcave nonlinearity

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods involving nonlinear operators (47J30) Boundary value problems for PDEs with pseudodifferential operators (35S15) Variational methods for second-order elliptic equations (35J20) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (4)

A concave–convex Kirchhoff type elliptic equation involving the fractionalp-Laplacian and steep well potential ⋮ Spectrum and constant sign solutions for a fractional Laplace problem with sign-changing weight ⋮ Multiplicity results for critical fractional equations with sign-changing weight functions ⋮ INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION

Cites Work

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• A concave—convex elliptic problem involving the fractional Laplacian
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