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The Hadamard formula for nonlocal eigenvalue problems

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Author(s):
Benguria, Rafael D. ; Pereira, Marcone C. ; Saez, Mariel
Total Authors: 3
Document type: Journal article
Source: MATHEMATISCHE ANNALEN; v. N/A, p. 29-pg., 2023-07-18.
Abstract

In this paper we obtain a Hadamard type formulae for simple and multiple eigenvalues for a class of nonlocal eigenvalue problems. The cases that we consider include among others, the classical nonlocal problems with Dirichlet and Neumann conditions. The Hadamard formula is computed allowing domain perturbations given by embeddings of n-dimensional Riemannian manifolds (possibly with boundary) of finite volume. (AU)

FAPESP's process: 20/14075-6 - Dynamical systems and their attractors under perturbations
Grantee:Alexandre Nolasco de Carvalho
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 20/04813-0 - Asymptotic and qualitative analysis of integro-differential equations
Grantee:Marcone Corrêa Pereira
Support Opportunities: Regular Research Grants