GAMMA CONVERGENCE AND ASYMPTOTIC BEHAVIOR FOR EIGENVALUES OF NONLOCAL PROBLEMS

FERNÁNDEZ BONDER, JULIÁN; ANALÍA SILVA; JUAN SPEDALETTI

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

AMER INST MATHEMATICAL SCIENCES

Lugar: springfield; Año: 2021 vol. 41 p. 2125 - 2140

1078-0947

In this paper we analyze the asymptotic behavior of several fractionaleigenvalue problems by means of Gamma-convergence methods. Thismethod allows us to treat different eigenvalue problems under a unied framework.We are able to recover some known results for the behavior of theeigenvalues of the p-fractional laplacian when the fractional parameter s goesto 1, and to extend some known results for the behavior of the same eigenvalueproblem when p goes to 1. Finally we analyze other eigenvalue problems notpreviously covered in the literature.