A. Salort

collaborators

3 papers

math.AP2025

Superlinear fractional $I^¦$ -Laplacian type problems via the nonlinear Rayleigh quotient with two parameters

L. R. S. de Assis, M. L. M. Carvalho, Edcarlos D. Silva +1

In this work, we establish the existence and multiplicity of weak solutions for nonlocal elliptic problems driven by the fractional $I^¦$ -Laplacian operator, in the presence of a si…

math.AP2025

$I^ -$ convergence of energy functionals in fractional Orlicz spaces beyond the $I^_{2}$ condition

Ignacio Ceresa Dussel, JuliÃ¡n FernÃ¡ndez Bonder, Ariel Salort

Given a Young function $A$ , $n \geq 1$ and $s \in (0, 1)$ we consider the energy functional $$ \mathcal{J}_s(u)=(1-s)\iint_{\mathbb{R}^n\times \mathbb{R}^n} A\left(\frac{|u(x)-u(y)|}{|…

math.AP2025

Fractional Lane-Emden Hamiltonian systems

Ignacio Ceresa Dussel, JuliÃ¡n FernÃ¡ndez Bonder, Nicolas Saintier +1

In this work, our interest lies in proving the existence of solutions to the following Fractional Lane-Emden Hamiltonian system: $$ \begin{cases} (-Î)^s u = H_v(x,u,v) & \text{in…

Superlinear fractional I^¦-Laplacian type problems via the nonlinear Rayleigh quotient with two parameters

I^−convergence of energy functionals in fractional Orlicz spaces beyond the I^2​ condition

Fractional Lane-Emden Hamiltonian systems

Superlinear fractional $I^¦$ -Laplacian type problems via the nonlinear Rayleigh quotient with two parameters

$I^ -$ convergence of energy functionals in fractional Orlicz spaces beyond the $I^_{2}$ condition