Upper and Lower Bounds for the First Robin Eigenvalue of Nonlinear Elliptic Operators
Abstract
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.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Potential Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 64
- Issue
- 3
- Publication date
- 25 February 2026
- Language
- EN