Heat flow method for Lichnerowicz type equations on closed manifolds
From MaRDI portal
Publication:422319
DOI10.1007/s00033-011-0156-xzbMath1239.58017arXiv1003.0053OpenAlexW3102175742MaRDI QIDQ422319
Publication date: 16 May 2012
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.0053
Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (5)
Liouville theorem for \(p\)-Laplacian Lichnerowicz equation on compact manifolds ⋮ Gradient estimates for \(p\)-Laplacian Lichnerowicz equation on noncompact metric measure space ⋮ On the \(p\)-Laplacian Lichnerowicz equation on compact Riemannian manifolds ⋮ On a fourth order Lichnerowicz type equation involving the Paneitz-Branson operator ⋮ Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces
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
- Uniform bound and a non-existence result for Lichnerowicz equation in the whole \(n\)-space
- The Einstein-scalar field constraints on asymptotically Euclidean manifolds
- LOGISTIC TYPE EQUATIONS ON ℝN BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
- The constraint equations for the Einstein-scalar field system on compact manifolds
- Explicit group iterative methods for solving elliptic partial differential equations in 3-space dimensions
- Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
This page was built for publication: Heat flow method for Lichnerowicz type equations on closed manifolds