5 papers
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…
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…
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…