What question did this study set out to answer?

The aim is to establish inequalities related to the first Robin eigenvalue of nonlinear elliptic operators.

February 26, 2026Open Access

Upper and Lower Bounds for the First Robin Eigenvalue of Nonlinear Elliptic Operators

Puntos clave

The aim is to establish inequalities related to the first Robin eigenvalue of nonlinear elliptic operators.
Proved inequalities for the first Robin eigenvalue
Analyzed the p-laplacian operator
Derived upper bound in relation to the first Dirichlet eigenvalue
Established upper bound for the first Robin eigenvalue
Demonstrated relationship between Robin and Dirichlet eigenvalues
Highlighted significance of the p-laplacian in deriving bounds

Resumen

Abstract Let Ω be a bounded, smooth domain of RN R N, N 2 N ≥ 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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Cite This Study

Barbato et al. (Wed,) studied this question.

synapsesocial.com/papers/699fe3ec95ddcd3a253e8058 https://doi.org/https://doi.org/10.1007/s11118-026-10280-1

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