We study the behavior, as p→ +∞,of the second eigenvalues of the p-Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that, up to some regularity of the set, the limit of the second eigenvalues is actually the secondeigenvalue of the so-called ∞-Laplacian.
On the second eigenvalue of the infinity Laplacian with Robin boundary conditions / Amato, V.; Masiello, A. L.; Nitsch, C.; Trombetti, C.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - (2025). [10.1515/acv-2024-0114]
On the second eigenvalue of the infinity Laplacian with Robin boundary conditions
V. Amato;A. L. Masiello;C. Nitsch;C. Trombetti
2025
Abstract
We study the behavior, as p→ +∞,of the second eigenvalues of the p-Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that, up to some regularity of the set, the limit of the second eigenvalues is actually the secondeigenvalue of the so-called ∞-Laplacian.File in questo prodotto:
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