Gradient estimates and Harnack inequalities for Yamabe-type parabolic equations on Riemannian manifolds

DOI10.1016/j.difgeo.2018.05.005OpenAlexW2803694252WikidataQ115355107 ScholiaQ115355107MaRDI QIDQ1654195

Ha Tuan Dung

Publication date: 7 August 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.05.005

zbMATH Keywords

gradient estimatesHarnack inequalitiesLiouville-type theoremsBochner-WeitzenböckYamabe-type parabolic equations

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx)

Related Items (3)

Unnamed Item ⋮ Gradient estimates and Harnack inequalities for a Yamabe-type parabolic equation under the Yamabe flow ⋮ Gradient estimates and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces

Cites Work

• Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds
• Gradient estimates for the equation \(\Delta u + cu ^{-\alpha} = 0\) on Riemannian manifolds
• Yamabe-type equations on complete, noncompact manifolds
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• Conformal deformation of a Riemannian metric to constant scalar curvature
• On the parabolic kernel of the Schrödinger operator
• Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• A matrix Harnack estimate for the heat equation
• Positive solutions of Yamabe type equations on complete manifolds and applications
• Gradient estimates for a simple parabolic Lichnerowicz equation
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• The Yamabe problem
• Elliptic-type gradient estimate for Schrödinger equations on noncompact manifolds
• Compactness and non-compactness for Yamabe-type problems
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