Work

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

Year: 2026

Type: article

Abstract: Let $$\Omega $$ Ω be a bounded, smooth domain of $$\mathbb {R}^N$$ R N , $$N\ge 2$$ 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.

Source: Potential Analysis

DOI: 10.1007/s11118-026-10280-1

Authors: Rosa Barbato, Francesco Della Pietra

Institution: University of Naples Federico II

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Università degli Studi di Napoli Federico II, Istituto Nazionale di Alta Matematica "Francesco Severi"