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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

University of Buenos Aires, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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.

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