5 papers · 1 filter
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…
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…