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

Rosa Barbato; Francesco Della Pietra

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

Analysis of PDEs 2025-04-02 v2

Authors: Rosa Barbato , Francesco Della Pietra

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.

Keywords

laplacian eigenvalues bounded domains operator theory and elliptic operators

Cite

@article{arxiv.2410.12565,
  title  = {Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators},
  author = {Rosa Barbato and Francesco Della Pietra},
  journal= {arXiv preprint arXiv:2410.12565},
  year   = {2025}
}

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