Positive solutions of quasilinear elliptic inequalities on noncompact Riemannian manifolds

DOI10.1134/S0001434607050252zbMath1136.35109OpenAlexW4245319608WikidataQ115254075 ScholiaQ115254075MaRDI QIDQ2473771

Yanyan Li

Publication date: 4 March 2008

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

Full work available at URL: https://doi.org/10.1134/s0001434607050252

zbMATH Keywords

Riemannian manifoldLaplace-Beltrami operatorLipschitz functionquasilinear elliptic inequalitytheorem of Liouville typequasisimilar manifold

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (4)

Triviality of bounded solutions of the stationary Ginzburg-Landau equation on spherically symmetric manifolds ⋮ Solvability of the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds ⋮ The positive solutions to quasilinear elliptic inequalities on model Riemannian manifolds ⋮ Some Liouville-type Theorems for the Stationary Ginsburg – Landau Equation on Quasi-model Riemannian Manifolds

Cites Work

• Unnamed Item
• Denjoy-Ahlfors theorem for harmonic functions on Riemannian manifolds and external structure of minimal surfaces
• The absence of global positive solutions of quasilinear elliptic inequalities
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• On some Liouville theorems on noncompact Riemannian manifolds
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

This page was built for publication: Positive solutions of quasilinear elliptic inequalities on noncompact Riemannian manifolds