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The first eigenvalue of a homogeneous CROSS
(Springer, 2022-01-12)
We provide explicit formulae for the first eigenvalue of the Laplace--Beltrami operator on a compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As consequences, we prove that homogeneous metrics ...
An Extremal Eigenvalue Problem for a Two-Phase Conductor in a Ball
(2009)
The pioneering works of Murat and Tartar (Topics in the mathematical
modeling of composite materials. PNLDE 31. Birkhäuser, Basel, 1997) go a long
way in showing, in general, that problems of optimal design may not admit ...
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
(Elsevier, 2016-07)
Let A and B be selfadjoint operators in a Krein space and assume that the resolvent difference of A and B is of rank one. In the case that A is nonnegative and I is an open interval such that σ(A)∩I consists of isolated ...
NONRESONANCE BETWEEN TWO EIGENVALUES NOT NECESSARILY CONSECUTIVE
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
Minimization of the first eigenvalue in problems involving the bi-laplacianMinimization of the first eigenvalue in problems involving the bi-laplacian
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2009)
Minimization of the ground state of the mixture of two conducting materials in a small contrast regime
(2016)
We consider the problem of distributing two conducting materials with a prescribed volume ratio in a given domain so as to minimize the first eigenvalue of an elliptic operator with Dirichlet conditions. The gap between ...
A lyapunov type inequality for indefinite weights and eigenvalue homogenization
(American Mathematical Society, 2016-04)
In this paper we prove a Lyapunov type inequality for quasilinear problems with indefinite weights. We show that the first eigenvalue is bounded below in terms of the integral of the weight, instead of the integral of its ...
Eigenvalues for a combination between local and nonlocal p-Laplacians
(De Gruyter, 2019-10)
In this paper we study the Dirichlet eigenvalue problem −Δpu − ΔJ,pu = λ|u| p−2u in Ω, u = 0 in Ωc = RN \ Ω. Here Ω is a bounded domain in RN , Δpu is the standard local p-Laplacian and ΔJ,pu is a nonlocal p-homogeneous ...
Complementarity problems with respect to Loewnerian cones
(Springer, 2015)
This work deals with the analysis and numerical resolution of a broad class of
complementarity problems on spaces of symmetric matrices. The complementarity conditions
are expressed in terms of the Loewner ordering or, ...
REALIZABILITY BY SYMMETRIC NONNEGATIVE MATRICES*
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)