6 papers
A mixed local-nonlocal Hénon problem in
Pablo Ochoa, Ariel Salort
In this article, we study a Hénon-type equation in driven by a nonlinear operator given by the combination of a local and a nonlocal term. This equation was origina…
Function spaces and potential theory in the Orlicz setting
Pablo Ochoa, Ariel Salort
In this article, we study certain transcendental function spaces arising in potential theory within the framework of Orlicz spaces. Specifically, we generalize Bessel and Lizorkin-…
Lower bounds for fractional Orlicz-type eigenvalues
Ariel Salort
In this article, we establish precise lower bounds for the eigenvalues and critical values associated with the fractional Laplacian operator, where is a Young function. The…
The Hénon equation in Orlicz-Sobolev spaces
Pablo Ochoa, Ariel Salort
In this paper, we consider the Hénon problem in the setting of Orlicz-Sobolev spaces: \begin{equation*} \begin{cases} -Î_g u= |x|^αh( u) \quad \text{in }B\\ u>0 \quad \text{in }…
Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces
Pablo Ochoa, Ariel Salort
In this article we study different extensions of the celebrated Hopf's boundary lemma within the context of a family of nonlocal, nonlinear and nonstandard growth operators. More p…
Hopf's lemmas and boundary point results for the fractional -Laplacian
Pablo Ochoa, Ariel Salort
In this paper, we consider different versions of the classical Hopf's boundary lemma in the setting of the fractional Laplacian for . We start by providing for a new…