## View abstract

### Session S18 - Recent progress in non-linear PDEs and their applications

Tuesday, July 20, 17:00 ~ 17:50 UTC-3

## Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems

### Julian Fernandez Bonder

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 eigenvalue problems under a unified framework. We are able to recover some known results for the behavior of the eigenvalues of the $p-$fractional laplacian when the fractional parameter $s$ goes to 1, and to extend some known results for the behavior of the same eigenvalue problem when $p$ goes to $\infty$. Finally we analyze other eigenvalue problems not previously covered in the literature. This is a joint work with A. Silva and J. Spedaletti from UNSL-Argentina.