The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter

DOI10.1016/j.jmaa.2010.10.015zbMath1209.35092OpenAlexW2083171846MaRDI QIDQ626138

Jorge García-Melián, Eduardo Colorado

Publication date: 22 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.015

zbMATH Keywords

asymptotic behaviorprincipal eigenvaluemixed boundary value problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Semilinear elliptic equations (35J61)

Related Items (5)

Quantum Information Measures of the One‐Dimensional Robin Quantum Well ⋮ Thermodynamic Properties of the 1D Robin Quantum Well ⋮ Guiding structures with multiply connected cross sections: Evolution of propagation in external fields at complex Robin parameters ⋮ Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string ⋮ Effective operators for Robin eigenvalues in domains with corners

Cites Work

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• Monotonicity results for the principal eigenvalue of the generalized Robin problem
• Optimal Hölder regularity for mixed boundary value problems
• Bounds and monotonicity for the generalized Robin problem
• Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
• A singularly perturbed linear eigenvalue problem in \(C^1\) domains.
• Eigenvalue estimates and critical temperature in zero fields for enhanced surface super\-conductivity
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Multidimensional Reaction Diffusion Equations with Nonlinear Boundary Conditions
• On the principal eigenvalue of a Robin problem with a large parameter

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