We obtain critical embeddings and the concentration-compactness principle for the
anisotropic variable exponent Sobolev spaces. As an application of these results, we …

In this paper we prove Bourgain-Brezis-Mironescu's type results (cf.[4])(BBM for short) for an
energy functional which is strongly related to the pseudo anisotropic p-Laplacian. We also …

We obtain critical embeddings and the concentration-compactness principle for the
anisotropic variable exponent Sobolev spaces. As an application of these results, we …

In this article, we study the asymptotic behavior of anisotropic nonlocal nonstandard growth
seminorms and modulars as the fractional parameter goes to 1 without requiring the Δ 2 …

In this research, we investigate a general shape optimization problem in which the state
equation is expressed using a nonlocal and nonlinear operator. We prove the existence of a …

corrected proof Page 1 ARTICLE IN PRESS corrected proof Please cite this article as: Ignacio
Ceresa Dussel, Julián Fernández Bonder, Existence of eigenvalues for anisotropic and …

In this paper, our primary objective is to develop the peridynamic fractional Sobolev space
and establish novel BBM-type results associated with it. We also address the peridynamic …

The goal of this work is to develop the regularity theory for nonlocal parabolic equations. We
focus on problems driven by nonlocal operators associated with nonsymmetric bilinear …

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 …

We study parabolic equations governed by integro-differential operators with nonlocal
components in some directions and local components in the remaining directions. The …