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arXiv · 2111.10107

On the solutions to $p$-Poisson equation with Robin boundary conditions when $p$ goes to $+\infty$

Vincenzo Amato·Alba Lia Masiello·Carlo Nitsch·Cristina Trombetti
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Abstract

We study the behaviour, when $p \to +\infty$, of the first $p$-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that the limit of the eigenfunctions is a viscosity solution to an eigenvalue problem for the so-called $\infty$-Laplacian.

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Vincenzo Amato, Alba Lia Masiello, Carlo Nitsch, Cristina Trombetti. 2021-11-19. On the solutions to $p$-Poisson equation with Robin boundary conditions when $p$ goes to $+\infty$. https://arxiv.org/abs/2111.10107

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