Ignacio Ceresa Dussel

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math.AP2026

An eigenvalue problem for a generalized polyharmonic operator in Orlicz-Sobolev spaces without the $I^_{2}$ -condition

Ignacio Ceresa Dussel, JuliÃ¡n FernÃ¡ndez Bonder, Pablo Ochoa

In this paper, we consider a generalized polyharmonic eigenvalue problem of the form $A (u) = I^» h (u)$ in a bounded smooth domain with Dirichlet boundary conditions in the setting of…

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.AP2024

Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents

Sabri Bahrouni, Julian Fernandez Bonder, Ignacio Ceresa Dussel +1

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…

An eigenvalue problem for a generalized polyharmonic operator in Orlicz-Sobolev spaces without the I^2​-condition

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

Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents

An eigenvalue problem for a generalized polyharmonic operator in Orlicz-Sobolev spaces without the $I^_{2}$ -condition

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