22 citations · 97 across the 51 of their papers we have counts for
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Eigenvalue homogenization for the Laplacian with rapidly oscillating weights
Ariel Salort
In this article, we study the convergence rates of variational eigenvalues of the -Laplacian with rapidly oscillating weights and potentials belonging in a suitable space.…
Sharp regularity estimates for quasi-linear elliptic dead core problems and applications
João Vítor da Silva, Ariel Salort
In this manuscript we study geometric regularity estimates for quasi-linear elliptic equations of -Laplace type () with strong absorption condition: $$ -\text{div…
Regularity properties for dead core problems and their asymptotic limit as
João Vítor da Silva, Julio Rossi, Ariel Salort
We study regularity issues and the limiting behavior as of nonnegative solutions for elliptic equations of Laplacian type () with a strong absorp…
On the first eigenvalue of the generalized laplacian
Julian Fernandez Bonder, Ariel Salort
In this work we investigate the energy of minimizers of Rayleigh-type quotients of the form These minimizers are eigenfunc…
Asymptotic behavior of Musielak-Orlicz-Sobolev modulars
J. C. de Albuquerque, L. R. S. de Assis, M. L. M. Carvalho +1
In this article we study the asymptotic behavior of anisotropic nonlocal nonstandard growth seminorms and modulars as the fractional parameter goes to 1. This gives a so-called Bou…
On Fractional Musielak-Sobolev spaces and applications to nonlocal problems
J. C. de Albuquerque, L. R. S. de Assis, M. L. M. Carvalho +1
In this work, we establish some abstract results on the perspective of the fractional Musielak-Sobolev spaces, such as: uniform convexity, Radon-Riesz property with respect to the…