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Artículo
Semilinear problems with right-hand sides singular at u = 0 which change sign
(Elsevier, 2021-06-01)
The present paper is devoted to the study of the existence of a solution u for a quasilinear second order differential equation with homogeneous Dirichlet conditions, where the right-hand side tends to infinity at u = 0u=0. ...
Artículo
The maximization of the p-Laplacian energy for a two-phase material
(SIAM Publications Library, 2021)
We consider the optimal arrangement of two diffusion materials in a bounded openset \Omega \subset \BbbR Nin order to maximize the energy. The diffusion problem is modeled by thep-Laplacianoperator. It is well known that ...
Artículo
Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
(Elsevier, 2020-12-15)
In this paper we study homogenization of a linear system of elastodynamics in an elastic body with soft inclusions, which is embedded in a highly oscillating magnetic field. We show two limits behaviors according to the ...
Artículo
Numerical Maximization of the p-Laplacian Energy of a Two-Phase Material
(SIAM, 2021-01-01)
For a diffusion problem modeled by thep-Laplacian operator, we are interested inobtaining numerically the two-phase material which maximizes the internal energy. We assume thatthe amount of the best material is limited. ...
Artículo
Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems
(Springer, 2021-07-24)
The paper deals with the homogenization of a magneto-elastodynamics equation satisfied by the displacement uεuε of an elastic body which is subjected to an oscillating magnetic field BεBε generating the Lorentz force ...