Liouville's theorem and Harnack's inequality for Beltrami's equation on an arbitrary manifold

DOI10.1007/BF01086567zbMath0451.58034OpenAlexW1972552809MaRDI QIDQ1148045

V. V. Minakhin

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086567

zbMATH Keywords

complete smooth Riemannian manifoldexistence of nontrivial bounded solutions of Beltrami's equationHarnack's inequality for a pair of metricssufficient conditions for the validity of Liouville's theorem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Differential complexes (58J10) Higher-dimensional potential theory (31B99)

Cites Work

• Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions
• On Harnack's theorem for elliptic differential equations
• Unnamed Item

This page was built for publication: Liouville's theorem and Harnack's inequality for Beltrami's equation on an arbitrary manifold