Existence and multiplicity results for resonant fractional boundary value problems

DOI10.3934/dcdss.2018028zbMath1386.35439arXiv1708.06668OpenAlexW2962680612MaRDI QIDQ1677410

Nikolaos S. Papageorgiou, Antonio Iannizzotto

Publication date: 21 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06668

zbMATH Keywords

Morse theoryeigenvalue problemsfractional Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Fractional partial differential equations (35R11)

Related Items (12)

Steiner symmetry in the minimization of the first eigenvalue of a fractional eigenvalue problem with indefinite weight ⋮ Monotonicity of eigenvalues of the fractional \(p\)-Laplacian with singular weights ⋮ Strict monotonicity and unique continuation for general non-local eigenvalue problems ⋮ Some perturbation results of Kirchhoff type equations via Morse theory ⋮ Algebraic topological techniques for elliptic problems involving fractional Laplacian ⋮ Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth ⋮ Unnamed Item ⋮ STABILITY RESULTS AND EXISTENCE THEOREMS FOR NONLINEAR DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS WITH <inline-formula><tex-math id="M1">$ \varphi^*_P $</tex-math></inline-formula>-OPERATOR ⋮ Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero ⋮ Multiple solutions for the fractional \(p\)-Laplacian with jumping reactions

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