Resonant problems for fractional Laplacian

DOI10.3934/cpaa.2017008zbMath1354.49023OpenAlexW2552785213MaRDI QIDQ728523

Yutong Chen, Jiabao Su

Publication date: 20 December 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017008

zbMATH Keywords

Morse theoryPalais-Smale conditionvariational methodscritical groupresonancefractional Laplacianangle condition

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods involving semicontinuity and convergence; relaxation (49J45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Fractional partial differential equations (35R11)

Related Items (8)

Multiple solutions for the fractional Laplacian problems with different asymptotic limits near infinity ⋮ Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian ⋮ Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition ⋮ Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities ⋮ A priori bounds and existence result of positive solutions for fractional Laplacian systems ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ A bipolynomial fractional Dirichlet-Laplace problem ⋮ Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero

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