Let $Ω$ be a bounded Lipschitz domain of $\mathbb R^N$, $N\geq 2$. In this paper, we study the asymptotic behavior of the first Robin eigenvalue of the $p$-Laplace operator as $β$ goes to $0$ and as $β$ goes to $+\infty$, deriving sharp asymptotic expansions of the eigenvalue; the expansion in the Dirichlet limit $β\to+\infty$ is obtained under the additional assumption that $\partialΩ$ is of class $C^{1,1}$.
Asymptotic behavior of the first Robin eigenvalue of nonlinear operators / Barbato, R., Della Pietra, F., Masiello, A.L.. - (2026).
Asymptotic behavior of the first Robin eigenvalue of nonlinear operators
Rosa Barbato;Francesco Della Pietra;Alba Lia Masiello
2026
Abstract
Let $Ω$ be a bounded Lipschitz domain of $\mathbb R^N$, $N\geq 2$. In this paper, we study the asymptotic behavior of the first Robin eigenvalue of the $p$-Laplace operator as $β$ goes to $0$ and as $β$ goes to $+\infty$, deriving sharp asymptotic expansions of the eigenvalue; the expansion in the Dirichlet limit $β\to+\infty$ is obtained under the additional assumption that $\partialΩ$ is of class $C^{1,1}$.File in questo prodotto:
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