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The spectrum of the p-Laplacian with singular weight
(Pergamon-elsevier Science LtdOxfordInglaterra, 2012)
An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
(De Gruyter, 2015-08)
We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann ...
The ∞ -eigenvalue problem with a sign-changing weight
(Birkhauser Verlag Ag, 2019-04)
Let Ω ⊂ R n be a smooth bounded domain and m∈ C(Ω ¯) be a sign-changing weight function. For 1 < p< ∞, consider the eigenvalue problem {-Δpu=λm(x)|u|p-2uinΩ,u=0on∂Ω,where Δ p u is the usual p-Laplacian. Our purpose in this ...
Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions
(Texas State University, 2016-01)
We study the rate of convergence for (variational) eigenvalues of several non-linear problems involving oscillating weights and subject to different kinds of boundary conditions in bounded domains.
Eigenvalues and minimizers for a non-standard growth non-local operator
(Academic Press Inc Elsevier Science, 2020-04)
In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on these quantities and their corresponding eigenfunctions.
On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm
(SpringerDordrechtHolanda, 2008)
The tangential variation of a localized flux-type eigenvalue problem
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2012)
In this work the differentiability of the principal eigenvalue lambda = lambda(1)(Gamma) to the localized Steklov problem -Delta u + qu = 0 in Omega, partial derivative u/partial derivative nu = lambda chi(Gamma)(x)u on ...
Energy dependent potential problems for the one dimensional p-Laplacian operator
(Pergamon-Elsevier Science Ltd, 2019-02)
In this work we analyze a nonlinear eigenvalue problem for the p-Laplacian operator with zero Dirichlet boundary conditions. We assume that the problem has a potential which depends on the eigenvalue parameter, and we show ...
Homogenization of a class of nonlinear eigenvalue problems
(ROYAL SOC EDINBURGH, 2006)
In this article we study the asymptotic behaviour of the eigenvalues of a family of nonlinear monotone elliptic operators of the form A(epsilon) = - div(a(epsilon) (x, del u)), which are sub-differentials of even, positively ...
A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)