Liouville theorems for nonlinear elliptic equations on Riemannian manifolds
DOI10.1016/j.jmaa.2020.124803zbMath1459.35057OpenAlexW3100621602WikidataQ115345892 ScholiaQ115345892MaRDI QIDQ1996922
Nguyen Dang Tuyen, Pham Duc Thoan, Nguyen Thac Dung
Publication date: 28 February 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124803
weighted manifoldsLiouville propertyLichnerowicz equationweighted Poincaré inequalityweighted \(p\)-harmonic function
Elliptic equations on manifolds, general theory (58J05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) PDEs on manifolds (35R01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gradient estimates for the elliptic and parabolic Lichnerowicz equations on compact manifolds
- Yamabe-type equations on complete, noncompact manifolds
- On removable singularities of p-harmonic maps
- Harnack estimates for a heat-type equation under the Ricci flow
- Regularity for a more general class of quasilinear equations
- Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
- A Liouville type theorem for \(p\)-harmonic maps
- Positive solutions of Yamabe type equations on complete manifolds and applications
- Refined Kato inequalities and conformal weights in Riemannian geometry
- Gradient estimates for some \(f\)-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces
- Liouville theorem for weighted p-Lichnerowicz equation on smooth metric measure space
- Stability and multiple solutions to Einstein-scalar field Lichnerowicz equation on manifolds
- Regularity results for differential forms solving degenerate elliptic systems
- The Kelvin-Nevanlinna-Royden criterion for \(p\)-parabolicity
- Harnack inequality for parabolic Lichnerowicz equations on complete noncompact Riemannian manifolds
- \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold
- Gradient estimates for a nonlinear parabolic equation and Liouville theorems
- The Einstein-scalar field constraints on asymptotically Euclidean manifolds
- Gradient estimates for a simple parabolic Lichnerowicz equation
- Liouville properties for 𝑝-harmonic maps with finite 𝑞-energy
- EINSTEIN CONSTRAINT EQUATIONS ON RIEMANNIAN MANIFOLDS
- Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
- Regularity of differential forms minimizing degenerate elliptic functionals.
- Generalized scalar curvature type equations on compact Riemannian manifolds
- Solving the $p$-Laplacian on manifolds
- Analysis of weighted p-harmonic forms and applications
This page was built for publication: Liouville theorems for nonlinear elliptic equations on Riemannian manifolds