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arXiv · 2410.12565

Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators

Rosa Barbato·Francesco Della Pietra
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Abstract

Let $\Omega$ be a bounded, smooth domain of $\mathbb R^N$, $N\ge 2$. In this paper, we prove some inequalities involving the first Robin eigenvalue of the $p$-laplacian operator. In particular, we prove an upper bound for the first Robin eigenvalue of nonlinear elliptic operators in terms of the first Dirichlet eigenvalue.

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Rosa Barbato, Francesco Della Pietra. 2024-10-16. Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators. https://arxiv.org/abs/2410.12565

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