Existence and multiplicity results for the fractional Laplacian in bounded domains

DOI10.1515/acv-2015-0032zbMath1405.35249arXiv1610.03734OpenAlexW2531918177MaRDI QIDQ518929

Dayana Pagliardini, Dimitri Mugnai

Publication date: 4 April 2017

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03734

zbMATH Keywords

eigenvaluesfractional Laplacian\((\nabla)\)-condition\(\nabla\)-theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (14)

Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance ⋮ Multiple solutions for superlinear fractional problems via theorems of mixed type ⋮ On fractional plasma problems ⋮ Unnamed Item ⋮ Existence of three nontrivial solutions for a class of fourth-order elliptic equations ⋮ Existence and multiplicity results for resonant fractional boundary value problems ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ Three nontrivial solutions for nonlinear fractional Laplacian equations ⋮ Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth ⋮ Existence of three nontrivial solutions for semilinear elliptic equations on \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ Resonant problems for fractional Laplacian ⋮ Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero

Cites Work

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