Uniform bound and a non-existence result for Lichnerowicz equation in the whole \(n\)-space

DOI10.1016/j.crma.2009.04.017zbMath1167.35320OpenAlexW2009994350MaRDI QIDQ1028089

Xingwang Xu, Li Ma

Publication date: 30 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.04.017

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (15)

On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Moving planes for nonlinear fractional Laplacian equation with negative powers ⋮ Kato's inequality and Liouville theorems on locally finite graphs ⋮ Liouville theorem for \(p\)-Laplacian Lichnerowicz equation on compact manifolds ⋮ Gradient estimates for \(p\)-Laplacian Lichnerowicz equation on noncompact metric measure space ⋮ A note on positive solutions of Lichnerowicz equations involving the \(\Delta_\lambda\)-Laplacian ⋮ Heat flow method for Lichnerowicz type equations on closed manifolds ⋮ Comments on two notes by L. Ma and X. Xu ⋮ Properties of positive solutions to nonlocal problems with negative exponents in unbounded domains ⋮ Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds ⋮ On the \(p\)-Laplacian Lichnerowicz equation on compact Riemannian manifolds ⋮ Liouville type theorem and uniform bound for the Lichnerowicz equation and the Ginzburg-Landau equation ⋮ Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces ⋮ Boundedness of solutions to Ginzburg–Landau fractional Laplacian equation ⋮ UNIFORM LOWER BOUND AND LIOUVILLE TYPE THEOREM FOR FRACTIONAL LICHNEROWICZ EQUATIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• The Einstein-scalar field constraints on asymptotically Euclidean manifolds
• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• The constraint equations for the Einstein-scalar field system on compact manifolds
• The Yamabe problem

This page was built for publication: Uniform bound and a non-existence result for Lichnerowicz equation in the whole \(n\)-space