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arXiv · 1912.01926

Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems

Julián Fernández Bonder·Analía Silva·Juan F. Spedaletti
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Abstract

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.

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Julián Fernández Bonder, Analía Silva, Juan F. Spedaletti. 2019-12-04. Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems. https://arxiv.org/abs/1912.01926

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