On some Liouville theorems on noncompact Riemannian manifolds

DOI10.1007/BF02732362zbMath0946.58015WikidataQ115391837 ScholiaQ115391837MaRDI QIDQ1972669

Yanyan Li

Publication date: 13 April 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

harmonic functionLiouville theorem

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

The Liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds ⋮ Positive solutions of quasilinear elliptic inequalities on noncompact Riemannian manifolds ⋮ On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form ⋮ Some Liouville-type Theorems for the Stationary Ginsburg – Landau Equation on Quasi-model Riemannian Manifolds

Cites Work

• On Nonexistence of any λ₀-invariand positive harmonic function, a counter example to stroock' conjecture
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