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math.AP2025
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 original…
math.AP2025
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} -Δ_g u= |x|^αh( u) \quad \text{in }B\\ u>0 \quad \text{in }B\\…
math.AP2025
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…