Some eigenvalue problems with non-local boundary conditions and applications

DOI10.3934/cpaa.2014.13.2465zbMath1396.35016OpenAlexW2333026502MaRDI QIDQ479546

Cristian Morales-Rodrigo, Antonio Suárez, Rafael dos Reis Abreu

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2465

zbMATH Keywords

eigenvalue problemnon-local boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) General topics in linear spectral theory for PDEs (35P05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On generalized common quasi-eigenvector problems

Cites Work

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• Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition
• Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Dynamics of reaction-diffusion equations with nonlocal boundary conditions
• Semilinear heat equation with absorption and a nonlocal boundary condition

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