Existence and multiplicity of nontrivial solutions for a bi-nonlocal equation

zbMath1277.45016MaRDI QIDQ1950801

Giovany M. Figueiredo, Francisco Julio Sobreira de Araujo Correa

Publication date: 28 May 2013

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1363266258

zbMATH Keywords

concentration-compactness principlemountain-pass theoremgenus theorybi-nonlocal equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Positive solutions of integral equations (45M20)

Related Items (6)

The effect of the domain topology on the number of positive solutions of an elliptic Kirchhoff problem ⋮ Nonlocal Neumann problem with critical exponent from the point of view of the trace ⋮ Existence and multiplicity of solutions involving the \(p(x)\)-Laplacian equations: on the effect of two nonlocal terms ⋮ Multiple positive solutions for a bi-nonlocal Kirchhoff-Schrödinger-Poisson system with critical growth ⋮ Existence of a nodal solution with minimal energy for a Kirchhoff equation ⋮ On bi-nonlocal problem for elliptic equations with Neumann boundary conditions

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