Gradient estimates for weighted \(p\)-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds
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Publication:2134227
DOI10.2996/kmj/kmj45102zbMath1490.35188arXiv2007.14669OpenAlexW3045649861WikidataQ115224322 ScholiaQ115224322MaRDI QIDQ2134227
Le Van Dai, Nguyen Thac Dung, N. D. Tuyen, Liang Zhao
Publication date: 6 May 2022
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.14669
Elliptic equations on manifolds, general theory (58J05) Quasilinear elliptic equations with (p)-Laplacian (35J92) Analysis on metric spaces (30L99) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Cites Work
- Unnamed Item
- Unnamed Item
- Weighted \(p\)-harmonic functions and rigidity of smooth metric measure spaces
- Local gradient estimate for \(p\)-harmonic functions on Riemannian manifolds
- Solutions to the Allen Cahn equation and minimal surfaces
- Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
- The inverse mean curvature flow and \(p\)-harmonic functions
- A Liouville type theorem for \(p\)-harmonic maps
- Relative volume comparison with integral curvature bounds
- Local Sobolev constant estimate for integral Ricci curvature bounds
- Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
- From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
- Eigenvalue estimate for the weighted \(p\)-Laplacian
- A sharp \(L^q\)-Liouville theorem for \(p\)-harmonic functions
- Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds
- Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds
- Gradient estimates and entropy formulae for weighted \(p\)-heat equations on smooth metric measure spaces
- Gradient estimates for a class of semilinear parabolic equations and their applications
- The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy
- Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
- Elliptic gradient estimates for a weighted heat equation and applications
- Differential Harnack estimates for Fisher's equation
- Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature
- Constancy of \(p\)-harmonic maps of finite \(q\)-energy into non-positively curved manifolds
- Li-Yau gradient bound for collapsing manifolds under integral curvature condition
- Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
- Mappings minimizing theLp norm of the gradient
- Analysis and geometry on manifolds with integral Ricci curvature bounds. II
- Neumann Li-Yau gradient estimate under integral Ricci curvature bounds
- Gradient estimates for the Allen-Cahn equation on Riemannian manifolds
- Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces
- Sharp gradient estimates for a heat equation in Riemannian manifolds
- Analysis of weighted p-harmonic forms and applications
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- Lower bound estimates for the first eigenvalue of the weighted \(p\)-Laplacian on smooth metric measure spaces