6 papers
An eigenvalue problem for a generalized polyharmonic operator in Orlicz-Sobolev spaces without the -condition
Ignacio Ceresa Dussel, Julián Fernández Bonder, Pablo Ochoa
In this paper, we consider a generalized polyharmonic eigenvalue problem of the form in a bounded smooth domain with Dirichlet boundary conditions in the setting of h…
Optimal Control Strategies for Epidemic Dynamics: Integrating SIR-SI and Lotka--Volterra Models
Rocio Balderrama, Ignacio Ceresa Dussel, Constanza Sanchez de la Vega
In this work we present a mathematical model that integrates the epidemiological dynamics of a vector-borne disease (SIR-SI) with Lotka Volterra predator prey ecological interactio…
convergence of energy functionals in fractional Orlicz spaces beyond the condition
Ignacio Ceresa Dussel, Julián Fernández Bonder, Ariel Salort
Given a Young function , and we consider the energy functional $$ \mathcal{J}_s(u)=(1-s)\iint_{\mathbb{R}^n\times \mathbb{R}^n} A\left(\frac{|u(x)-u(y)|}{|…
Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents
Sabri Bahrouni, Julian Fernandez Bonder, Ignacio Ceresa Dussel +1
In this paper, our primary objective is to develop the peridynamic fractional Sobolev space and establish novel BBM-type results associated with it. We also address the peridynamic…
Existence of Eigenvalues for Anisotropic and Fractional Anisotropic Problems via Ljusternik-Schnirelmann Theory
I. Ceresa Dussel, J. Fernandez Bonder
In this work, our interest lies in proving the existence of critical values of the following Rayleigh-type quotients $$Q_{\mathbf p}(u) = \frac{\|\nabla u\|_{\mathbf p}}{\|u\|_{\ma…
A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations
Ignacio Ceresa Dussel, Julian Fernandez Bonder
In this paper we prove Bourgain-Brezis-Mironescu's type results (cf. \cite{BBM2001}) (BBM for short) for an energy functional which is strongly related to the fractional anisotropi…