The Hadamard formula for nonlocal eigenvalue problems

DOI10.1007/s00208-023-02673-zzbMATH Open1540.45004MaRDI QIDQ6540603

Marcone C. Pereira, Mariel Sáez, Rafael D. Benguria

Publication date: 17 May 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

Dirichlet conditionsNeumann conditionsmultiple eigenvalues

Mathematics Subject Classification ID

Eigenvalue problems for integral equations (45C05) Linear integral equations (45A05)

Cites Work

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• New trends in shape optimization
• On eigenvalue problems arising from nonlocal diffusion models
• Concentration phenomenon in some non-local equation
• Hadamard's formula inside and out
• Models of dispersal in biological systems
• Geometric theory of semilinear parabolic equations
• Effect of harvesting quota and protection zone in a nonlocal dispersal reaction-diffusion equation
• On eigenvalue generic properties of the Laplace-Neumann operator
• Classification of global dynamics of competition models with nonlocal dispersals. I: Symmetric kernels
• Perturbation theory for linear operators.
• The evolution of dispersal
• Time-scale analysis and parameter fitting for vector-borne diseases with spatial dynamics
• Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains
• On the principal eigenvalue of some nonlocal diffusion problems
• Hadamard variational formula for eigenvalues of the Stokes equations and its application
• Shape optimization and spectral theory
• Eigenvalues of the Neumann Laplacian in symmetric regions
• Nonlocal problems in perforated domains
• Linear non-local diffusion problems in metric measure spaces
• Remarks on the spectrum of a non‐local Dirichlet problem

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