Gradient estimates and a Liouville type theorem for the Schrödinger operator

DOI10.1006/jfan.1995.1008zbMath0842.58078OpenAlexW1996024624MaRDI QIDQ1891782

Emilio R. Negrin

Publication date: 12 August 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1008

zbMATH Keywords

Schrödinger operatorRiemannian manifold

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations on manifolds; differential operators (58J99)

Related Items (24)

A Liouville theorem for Schrödinger operator with drift. ⋮ Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type ⋮ Gradient estimates for the Fisher-KPP equation on Riemannian manifolds ⋮ Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds ⋮ Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds ⋮ Gradient estimates for the nonlinear parabolic equation with two exponents on Riemannian manifolds ⋮ Gradient estimates for the equation \(\Delta u + cu ^{-\alpha} = 0\) on Riemannian manifolds ⋮ Gradient estimates for a weighted parabolic equation under geometric flow ⋮ Sharp Li-Yau inequalities for Dunkl harmonic oscillators ⋮ Unnamed Item ⋮ Gradient estimates for a simple parabolic Lichnerowicz equation ⋮ Gradient estimates for the Allen-Cahn equation on Riemannian manifolds ⋮ Properties of positive solutions to an elliptic equation with negative exponent ⋮ Global gradient estimate on graph and its applications ⋮ Harnack inequality for parabolic Lichnerowicz equations on complete noncompact Riemannian manifolds ⋮ Coulomb systems on Riemannian manifolds and stability of matter ⋮ Gradient estimates and a Liouville type theorem for the Witten-Laplacian ⋮ Hamilton-type gradient estimates for a nonlinear parabolic equation on Riemannian manifolds ⋮ A gradient estimate for positive functions on graphs ⋮ Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds ⋮ Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow ⋮ Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds ⋮ Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds ⋮ Harnack and mean value inequalities on graphs

This page was built for publication: Gradient estimates and a Liouville type theorem for the Schrödinger operator