8 papers · 1 filter
An eigenvalue problem for a nonlocal quasilinear anisotropic equation in fractional Orlicz Sobolev spaces without the --condition
Julian Fernandez Bonder, Martin Guzman, Juan F. Spedaletti
In this paper we analyze an eigenvalue problem associated to fractional operators of the form \[ L_a^s u(x)=2 \text{p.v.}\int_{\mathbb{R}^n}a(x,y,D^su(x,y))\,\frac{dy}{|x-y|^{n+s}}…
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 $$ \mathcal{J}_s(u)=(1-s)\iint_{\mathbb{R}^n\times \mathbb{R}^n} A\left(\frac{|u(x)-u(y)|}{|…
Fractional Lane-Emden Hamiltonian systems
Ignacio Ceresa Dussel, Julián Fernández Bonder, Nicolas Saintier +1
In this work, our interest lies in proving the existence of solutions to the following Fractional Lane-Emden Hamiltonian system: $$ \begin{cases} (-Δ)^s u = H_v(x,u,v) & \text{in }…
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…
On the first eigenvalue of the generalized laplacian
Julian Fernandez Bonder, Ariel Salort
In this work we investigate the energy of minimizers of Rayleigh-type quotients of the form These minimizers are eigenfunc…