Liouville-type theorems on manifolds with nonnegative curvature and strictly convex boundary

DOI10.4310/MRL.2021.V28.N5.A6zbMath1498.53054arXiv1912.05574OpenAlexW2995389700MaRDI QIDQ2166375

Yanyan Li

Publication date: 24 August 2022

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05574

zbMATH Keywords

first Steklov eigenvalueSobolev trace inequalities

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition ⋮ Uniqueness results for positive harmonic functions on \(\overline{\mathbb{B}^n}\) satisfying a nonlinear boundary condition ⋮ Weighted Sobolev type inequalities in a smooth metric measure space ⋮ A note on the Wang’s conjecture for a nonlinear Neumann problem on unit ball

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