Some observations on Liouville's theorem on surfaces and the Dirichlet problem at infinity

DOI10.1134/S1995080222040084zbMath1494.31001OpenAlexW4226519444WikidataQ114074829 ScholiaQ114074829MaRDI QIDQ2140905

Daniel Peters-Stein, Jhon E. Bravo, Jean C. Cortissoz

Publication date: 23 May 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222040084

zbMATH Keywords

Liouville theoremharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

AN OBSERVATION ON THE DIRICHLET PROBLEM AT INFINITY IN RIEMANNIAN CONES

Cites Work

• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Positive harmonic functions on complete manifolds of negative curvature
• Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature.
• Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• On Deciding Whether a Surface is Parabolic or Hyperbolic
• A Note on Harmonic Functions on Surfaces
• The asymptotic Dirichlet problems on manifolds with unbounded negative curvature
• Geometric Analysis

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