9 papers
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}}…
Continuity of solutions for the phi-Laplacian operator
N. A. Cantizano, A. M. Salort, J. F Spedaletti
In this paper we give sufficient conditions to obtain continuity results of solutions for the so called {\em Laplacian} with respect to domain perturbations. We point out…
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
Julián Fernández Bonder, Analía Silva, Juan F. Spedaletti
In this paper we analyze the asymptotic behavior of several fractional eigenvalue problems by means of Gamma-convergence methods. This method allows us to treat different eigenvalu…
A constrained shape optimization problem in Orlicz-Sobolev spaces
João Vitor Da Silva, Ariel Salort, Analía Silva +1
In this manuscript we study the following optimization problem: given a bounded and regular domain we look for an optimal shape for the "vanish…
Continuity results with respect to domain perturbation for the fractional laplacian
Carla Baroncini, Julian Fernandez Bonder, Juan F. Spedaletti
In this paper we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional laplacian. These conditions are given…
Uniqueness of minimal energy solutions for a semilinear problem involving the fractional laplacian
Julian Fernandez Bonder, Analia Silva, Juan Spedaletti
In this paper we study a semilinear problem for the fractional laplacian that are the counterpart of the Neumann problems in the classical setting. We show uniqueness of minimal en…
Optimal design problems for the first fractional eigenvalue with mixed boundary conditions
Julian Fernandez Bonder, Julio D. Rossi, Juan F. Spedaletti
In this paper we study an optimal shape design problem for the first eigenvalue of the fractional laplacian with mixed boundary conditions. The optimization variable is the set…
Some nonlocal optimal design problems
J. Fernandez Bonder, J. Spedaletti
In this paper we study two optimal design problems associated to fractional Sobolev spaces . Then we find a relationship between these two problems and finally we inves…
A shape optimization problem for Steklov eigenvalues in oscillating domains
Julián Fernández Bonder, Juan F. Spedaletti
In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the do…