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papers

Publications (50)

math.AP2005

Degenerate conformally invariant fully nonlinear elliptic equations

YanYan Li

math.AP2019

Compactness of conformal metrics with constant $Q$-curvature. I

YanYan Li, Jingang Xiong

math.AP2012

A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound

YanYan Li, Luc Nguyen

math.AP2002

A Liouville type theorem for some conformally invariant fully nonlinear equations

Aobing Li, YanYan Li

math.AP2006

Gradient Estimates for the Perfect Conductivity Problem

Ellen Shiting Bao, YanYan Li, Biao Yin

math.DG2011

The Calabi-Yau equation on 4-manifolds over 2-tori

Anna Fino, YanYan Li, Simon Salamon +1

math.AP2016

Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations

YanYan Li, Luc Nguyen, Bo Wang

math.AP2006

Compactness of solutions to the Yamabe problem. III

YanYan Li, Lei Zhang

math.AP2006

Some Liouville theorems and applications

YanYan Li

math.AP2019

Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities

Li Li, YanYan Li, Xukai Yan

math.AP2019

Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry

YanYan Li, Luc Nguyen, Bo Wang

math.AP2019

Monge-Ampère equation with bounded periodic data

YanYan Li, Siyuan Lu

math.AP2006

A geometric problem and the Hopf Lemma. II

YanYan Li, Louis Nirenberg

math.AP2018

Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem

Maria del Mar González, YanYan Li, Luc Nguyen

math.AP2015

Multi-bump solutions of $-Δu=K(x)u^{\frac{n+2}{n-2}}$ on lattices in $R^n$

YanYan Li, Juncheng Wei, Haoyuan Xu

math.AP2017

Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I. One singularity

Li Li, YanYan Li, Xukai Yan

math.AP2009

A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

YanYan Li, Luc Nguyen

math.AP2006

Estimates and Existence Results for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary

Qinian Jin, Aobing Li, YanYan Li

math.AP2009

Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions

Ellen ShiTing Bao, YanYan Li, Biao Yin

math.AP2004

Compactness of solutions to the Yamabe problem. II

YanYan Li, Lei Zhang

math.AP2011

A Nonlinear Elliptic PDE with Two Sobolev-Hardy Critical Exponents

YanYan Li, Chang-Shou Lin

math.AP2005

Some multi-valued solutions to Monge-Ampere equations

Luis Caffarelli, YanYan Li

math.AP2009

Asymptotic behavior of solutions to the $σ_k$-Yamabe equation near isolated singularities

Zheng-Chao Han, YanYan Li, Eduardo V. Teixeira

math.AP2009

Partial results on extending the Hopf Lemma

YanYan Li, Louis Nirenberg

math.AP2009

A miscellany

YanYan Li, Louis Nirenberg

math.AP2005

Conformally invariant fully nonlinear elliptic equations and isolated singularities

YanYan Li

gr-qc2012

A generalized mass involving higher order symmetric function of the curvature tensor

YanYan Li, Luc Nguyen

math.AP2005

A geometric problem and the Hopf Lemma. I

YanYan Li, Louis Nirenberg

math.AP2004

On some conformally invariant fully nonlinear equations, Part II: Liouville, Harnack and Yamabe

Aobing Li, YanYan Li

math.AP2017

A new result for global existence and boundedness of solutions to a parabolic--parabolic Keller--Segel system with logistic source

Jiashan Zheng, YanYan Li

math.AP2005

Regularity of the distance function to the boundary

YanYan Li, Louis Nirenberg

math.AP2016

On the $C^1$ regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients

YanYan Li

math.AP2009

Some remarks on singular solutions of nonlinear elliptic equations. I

Luis Caffarelli, YanYan Li, Louis Nirenberg

math.AP2017

Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II. Classification of axisymmetric no-swirl solutions

Li Li, YanYan Li, Xukai Yan

math.AP2019

Asymptotics of the gradient of solutions to the perfect conductivity problem

HaiGang Li, YanYan Li, ZhuoLun Yang

math.AP2011

On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions

Tianling Jin, YanYan Li, Jingang Xiong

math.AP2018

Strong Comparison Principles for Some Nonlinear Degenerate Elliptic Equations

YanYan Li, Bo Wang

math.AP2005

Starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space

Qinian Jin, YanYan Li

math.AP2007

On the Hopf Lemma

YanYan Li, L. Nirenberg

math.AP2003

The distance function to the boundary, Finsler geometry and the singular set of viscosity solutions of some Hamilton-Jacobi equations

YanYan Li, Louis Nirenberg

math.AP2003

On some conformally invariant fully nonlinear equations

YanYan Li

math.AP2003

A general Liouville type theorem for some conformally invariant fully nonlinear equations

Aobing Li, YanYan Li

math.AP2013

On a fractional Nirenberg problem, part II: existence of solutions

Tianling Jin, YanYan Li, Jingang Xiong

math.AP2013

A response to an article of Xu-Jia Wang

YanYan Li, Luc Nguyen

math.AP2014

The Nirenberg problem and its generalizations: A unified approach

Tianling Jin, YanYan Li, Jingang Xiong

math.AP2011

Some remarks on singular solutions of nonlinear elliptic equations. III: viscosity solutions, including parabolic operators

Luis Caffarelli, YanYan Li, Louis Nirenberg

math.AP2013

Harnack inequalities and Bôcher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations

YanYan Li, Luc Nguyen

math.AP2002

A sharp Sobolev inequality on Riemannian manifolds

YanYan Li, Tonia Ricciardi

math.AP2016

Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two

JiGuang Bao, HaiGang Li, YanYan Li

math.AP2003

Further results on Liouville type theorems for some conformally invariant fully nonlinear equations

Aobing Li, YanYan Li