Cover Image

The Method of Moving Spheres on the Hyperbolic Space and the Classification of Solutions and the prescribed Q-curvature problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Li, Jungang, Lu, Guozhen, Wang, Jianxiong
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Conformally invariant equations with negative critical exponents on the three dimensional hyperbolic space
by: Ganguly, Debdip, et al.
Published: (2026)

Symmetry of Solutions to Fractional Semilinear Equations on Hyperbolic Spaces
by: Wang, Jianxiong
Published: (2026)

Optimal Trudinger-Moser inequalities on complete noncompact Riemannian manifolds: Revisit of the argument from the local inequalities to global ones
by: Li, Jungang, et al.
Published: (2026)

Bol's type inequality for singular metrics and its application to prescribing $Q$-curvature problems
by: Ghosh, Mrityunjoy, et al.
Published: (2025)

Infinitely many solutions for the prescribed scalar curvature problem with volcano-like curvature
by: Li, Tuoxin, et al.
Published: (2025)

The prescribed curvature problem for entire hypersurfaces in Minkowski space
by: Ren, Changyu, et al.
Published: (2020)

Logarithmic Sobolev, Poincaré and Beckner Inequalities on Hyperbolic Spaces and Riemannian Manifolds
by: Do, Anh Xuan, et al.
Published: (2026)

Fully nonlinear prescribed curvature problems on closed manifolds with negative curvature
by: Zhang, Jiaogen
Published: (2025)

Existence of complete conformal metrics on $\mathbb{R}^n$ with prescribed Q-curvature
by: Li, Mingxiang, et al.
Published: (2025)

Global Compactness and Existence for Higher Order Critical Equations on Hyperbolic Spaces
by: Li, Jungang, et al.
Published: (2024)

Harnack inequalities for equations of type prescribed scalar curvature
by: Bahoura, Samy Skander
Published: (2024)

Bifurcation of radial solutions for prescribed mean curvature equations
by: Zographopoulos, N. B.
Published: (2026)

Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds
by: Yuan, Rirong
Published: (2024)

Quantization property of n-Laplacian mean field equation and sharp Moser-Onofri inequality
by: Chen, Lu, et al.
Published: (2024)

Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three
by: Qiu, Guohuan
Published: (2019)

Existence and symmetry of extremals for the high order Hardy-Sobolev-Maz'ya inequalities
by: Lu, Guozhen, et al.
Published: (2026)

Mean curvature flows with prescribed singular sets
by: Tsiamis, Raphael
Published: (2026)

On isolated singularities of the conformal Gaussian curvature equation and $Q$-curvature equation
by: Yang, Hui, et al.
Published: (2025)

Obstructions to prescribed Q-curvature of complete conformal metrics on $\mathbb{R}^n$
by: Li, Mingxiang
Published: (2024)

Yamabe type equations with a sign-changing nonlinearity, and the prescribed curvature problem
by: Bianchini, Bruno, et al.
Published: (2014)

Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the stability of Log-Sobolev inequality on the sphere
by: Chen, Lu, et al.
Published: (2023)

Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds
by: Chen, Lu, et al.
Published: (2023)

Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants
by: Chen, Lu, et al.
Published: (2024)

Saddle solutions for Allen-Cahn type equations involving the prescribed mean curvature operator
by: Isneri, Renan J. S.
Published: (2024)

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants
by: Chen, Lu, et al.
Published: (2025)

The chord Gauss curvature flow and its $L_{p}$ chord Minkowski problem
by: Hu, Jinrong, et al.
Published: (2023)

Liouville theorems for conformal $Q$-curvature equations
by: Xu, Meiqing, et al.
Published: (2026)

The Sommerfeld-Rellich Framework for Scattering on Hyperbolic Space: Far-Field Patterns and Inverse Problems
by: Chen, Lu, et al.
Published: (2023)

Normal conformal metrics with prescribed $Q$-Curvature in $\mathbb{R}^{2n}$
by: Huang, Xia, et al.
Published: (2025)

Classification of solutions to the $Q$-flat and constant $T$-curvature equation on the half-space and ball
by: Chen, Xuezhang, et al.
Published: (2024)

Heteroclinic solutions for some classes of prescribed mean curvature equations in whole $\mathbb{R}^2$
by: Alves, Claudianor O., et al.
Published: (2024)

Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework
by: Chen, Lu, et al.
Published: (2026)

Stability of Gaussian Poincaré inequalities and Heisenberg Uncertainty Principle with monimial weights
by: Lam, Nguyen, et al.
Published: (2025)

Gradient Catastrophe for Solutions to the Hyperbolic Navier-Stokes Equations
by: Zhao, Qingsong
Published: (2026)

Blow-up phenomena for the constant Q/R-curvature equation
by: Li, Caiyan, et al.
Published: (2026)

Compactness and non-compactness theorems of the fourth- and sixth-order constant $Q$-curvature problems
by: Gong, Liuwei, et al.
Published: (2025)

Explicit Formulas of Fractional GJMS operators on hyperbolic spaces and sharp fractional Poincaré-Sobolev and Hardy-Sobolev-Maz'ya inequalities
by: Lu, Guozhen, et al.
Published: (2023)

On Eigenvalues of Logarithmic Potential Operator in the Hyperbolic Space
by: Johnson, Jiya Rose, et al.
Published: (2026)

Second boundary value problem for the Hessian curvature flow
by: Huang, Rongli, et al.
Published: (2025)

Regularity of Time-Periodic Solutions to Autonomous Semilinear Hyperbolic PDEs
by: Kmit, Irina, et al.
Published: (2023)