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math.AP2017
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…
math.AP2017
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…
math.AP2017
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…