Paul Yang

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Jeffrey S. Case, Paul Yang, 2022, 2204.02333.

Paneitz operator for metrics near S3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S^{3}$$\end{document}

Fengbo Hang, Paul Yang, 2017, Calculus of Variations and Partial Differential Equations.

Paneitz operator for metrics near $$S^{3}$$S3

Fengbo Hang, Paul Yang, 2015, 1504.02032.

Paneitz operator for metrics near $S^3$

Fengbo Hang, Paul Yang, 2015 .

Sign of Green's function of Paneitz operators and the Q curvature

Fengbo Hang, Paul Yang, 2014, 1411.3924.

The Sobolev inequality for Paneitz operator on three manifolds

Fengbo Hang, Paul Yang, 2004 .

A conformally invariant sphere theorem in four dimensions

S. Chang, M. Gursky, Paul Yang, 2003, math/0309287.

Isoperimetric domains in homogeneous three-manifolds and the isoperimetric constant of the Heisenberg group $\mathsf{H}^1$

A. Malchiodi, Jih-Hsin Cheng, Paul Yang, 2015, 1501.07357.

ISOPERIMETRIC DOMAINS IN HOMOGENEOUS THREE-MANIFOLDS AND THE ISOPERIMETRIC CONSTANT OF THE HEISENBERG GROUP H

A. Malchiodi, Jih-Hsin Cheng, Paul Yang, 2015 .

53–03 Historical (must Also Be Assigned at Least One Classification Number from Section 01)

D. Kendall, S. Chern, K. Grove, 2022 .

Isospectral conformal metrics on 3-manifolds

S. Chang, Paul Yang, 1990 .

Isospectral sets of conformally equivalent metrics

P. Perry, R. Brooks, Paul Yang, 1989 .

Estimates and extremals for zeta function determinants on four-manifolds

S. Chang, T. Branson, Paul Yang, 1992 .

Q‐Curvature on a Class of Manifolds with Dimension at Least 5

Fengbo Hang, Paul Yang, 2014, 1411.3926.

On uniqueness of solutions of $n$-th order differential equations in conformal geometry

S. Chang, Paul Yang, 1997 .

The scalar curvature equation on 2- and 3-spheres

S. Chang, M. Gursky, Paul Yang, 1993 .

A perturbation result in prescribing scalar curvature on $S^n$

Paul C. Yang, S. Chang, Paul Yang, 1991 .

A perturbation result for prescribing mean curvature

Paul C. Yang, S. Chang, Xingwang Xu, 1998 .

A Paneitz-type operator for CR pluriharmonic functions

Jeffrey S. Case, Paul Yang, 2013, 1309.2528.

Conformal invariants associated to a measure: conformally covariant operators

S. Chang, M. Gursky, Paul Yang, 2011 .

What is Q-Curvature?

B. Ørsted, M. Eastwood, S. Chang, 2008 .

CONFORMAL INVARIANTS ASSOCIATED TO A MEASURE , I : POINTWISE INVARIANTS

S. Chang, M. Gursky, Paul Yang, 2007 .

Conformal invariants associated to a measure.

S. Chang, M. Gursky, Paul Yang, 2006, Proceedings of the National Academy of Sciences of the United States of America.

Partial differential equations related to the Gauss-Bonnet-Chern integrand on 4-manifolds

S. Chang, Paul Yang, 2002 .

CR geometry in 3-D

Paul Yang, 2017 .

CR geometry in 3-D

Paul Yang, 2017, Chinese Annals of Mathematics, Series B.

The CR Paneitz Operator and the Stability of CR Pluriharmonic Functions

Jeffrey S. Case, Paul Yang, Sagun Chanillo, 2015, 1502.01994.

EMBEDDED THREE-DIMENSIONAL CR MANIFOLDS AND THE NON-NEGATIVITY OF PANEITZ OPERATORS

Hung-Lin Chiu, Paul Yang, Sagun Chanillo, 2012, 1208.5230.

Pseudo-Hermitian Geometry in 3-D

Paul Yang, 2011 .

Embeddability for Three-Dimensional Cauchy-Riemann Manifolds and CR Yamabe Invariants

Hung-Lin Chiu, Paul Yang, Sagun Chanillo, 2010, 1007.5020.

Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds

Shing-Tung Yau, Paul Yang, S. Yau, 1980 .

Scattering on singular Yamabe spaces

Paul Yang, Sun-Yung Alice Chang, Stephen E. McKeown, 2021, Revista Matemática Iberoamericana.

An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature

Paul C. Yang, S. Chang, M. Gursky, 2002, math/0409583.

Non-linear Partial Differential Equations in Conformai Geometry*

Paul C. Yang, S. Chang, Paul Yang, 2002, math/0212394.

Regularity for n-harmonic maps

Libin Mou, Paul Yang, 1996 .

Regularity forn-harmonic maps

Libin Mou, Paul Yang, 1996 .

Regularity of a fourth order nonlinear PDE with critical exponent

S. Chang, M. Gursky, Paul Yang, 1999 .

Prescribing Gaussian curvature on S2

S. Chang, Paul Yang, 1987 .

A Positive Mass Theorem in Three Dimensional Cauchy–Riemann Geometry

A. Malchiodi, Jih-Hsin Cheng, Paul Yang, 2013, 1312.7764.

Uniformization of spherical CR manifolds

Hung-Lin Chiu, Jih-Hsin Cheng, Paul Yang, 2013, 1301.1133.

Conformal deformation of metrics on $S^2$

Paul Yang, Sun-Yung Alice Chang, S. Chang, 1988 .

FOURTH ORDER EQUATIONS IN CONFORMAL GEOMETRY by

Paul C. Yang, S. Chang, Paul Yang, 2000 .

Automorphisms of Tube Domains and Spherical Hypersurfaces

Jiri Dadok, Paul Yang, 1985 .

Positivity of Paneitz operators

Xingwang Xu, Paul Yang, 2001 .

Extremal metrics of zeta function determinants on 4-manifolds

S. Chang, Paul Yang, 1995 .

Compactness of isospectral conformal metrics onS3

S. Chang, Paul Yang, 1989 .

A regularity theory of biharmonic maps

Lihe Wang, S. Chang, Paul Yang, 1999 .

On the variation of the Einstein–Hilbert action in pseudohermitian geometry

A. Malchiodi, Jih-Hsin Cheng, Paul Yang, 2023, Journal für die reine und angewandte Mathematik (Crelles Journal).

On the Sobolev quotient of three-dimensional CR manifolds

A. Malchiodi, Paul C. Yang, Jih-Hsin Cheng, 2019, Revista Matemática Iberoamericana.

Extremal metrics for the Q′-curvature in three dimensions

Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang, 2015, 1511.05248.

Multiple solutions and regularity of H-systems

Libin Mou, Paul Yang, 1996 .

The inequality of Moser and Trudinger and applications to conformal geometry

S. Chang, Paul Yang, 2003 .

An overdetermined Neumann problem in the unit disk

Carlos A. Berenstein, Paul Yang, C. Berenstein, 1982 .

Conformal energy in four dimension

Xingwang Xu, Paul Yang, 2002 .

Geometric Analysis

P. Topping, A. Fraser, Paul Yang, 2020, Lecture Notes in Mathematics.

An a priori estimate for a fully nonlinear equation on four-manifolds

Paul Yang, Sun-Yung Alice Chang, Matthew J. Gursky, 2002 .

Compactification of a class of conformally flat 4-manifold

S. Chang, J. Qing, Paul Yang, 2000 .

On the Chern-Gauss-Bonnet integral for conformal metrics on R4

Paul C. Yang, S. Chang, J. Qing, 2000 .

Local boundary regularity of holomorphic mappings

L. Nirenberg, S. Webster, Paul Yang, 1980 .

A Perturbation Approach for Paneitz Energy on Standard Three Sphere

Fengbo Hang, Paul Yang, 2018, International Mathematics Research Notices.

Some Progress in Conformal Geometry

Paul C. Yang, S. Chang, J. Qing, 2007, 0712.2794.

Regularity of harmonic maps

Lihe Wang, S. Chang, Paul Yang, 1999 .

Lectures on the fourth order Q curvature equation

Paul C. Yang, Fengbo Hang, Paul Yang, 2015, 1509.03003.

ON THE PANEITZ ENERGY ON STANDARD THREE SPHERE

Meijun Zhu, Paul Yang, 2004 .

On a fourth order equation in 3-D

Xingwang Xu, Paul Yang, 2002 .

On a Conformal Gap and Finiteness Theorem for a Class of Four-Manifolds

Paul C. Yang, S. Chang, J. Qing, 2005, math/0508621.

Minimal surfaces in pseudohermitian geometry

Paul Yang, Andrea Malchiodi, Jih-Hsin Cheng, 2004, math/0401136.

On Kähler manifolds with negative holomorphic bisectional curvature

Paul Yang, 1976 .

On the Sobolev–Poincaré Inequality of CR-manifolds

Yi Wang, Paul C. Yang, Paul Yang, 2018, International Mathematics Research Notices.

Isoperimetric inequality on CR-manifolds with nonnegative $Q'$-curvature

Yi Wang, Paul Yang, 2016, 1611.03564.

A Remark on the Kernel of the CR Paneitz operator

Jeffrey S. Case, Paul Yang, Sagun Chanillo, 2015, 1502.01992.

pseudoconvex domain and Aut(D) = {f: D -- DI f a biholomorphic

Jiri Dadok, Paul Yang, 2016 .

Pochette surgery of 4-sphere

S. Popa, Matthias Aschenbrenner, Kefeng Liu, 2022, Pacific Journal of Mathematics.

Strong maximum principle for mean curvature operators on subRiemannian manifolds

Hung-Lin Chiu, Jih-Hsin Cheng, Paul Yang, 2018, Mathematische Annalen.

Strong maximum principle for mean curvature operators on subRiemannian manifolds

Hung-Lin Chiu, Jih-Hsin Cheng, Paul Yang, 2016, Mathematische Annalen.

Regularity of C1 smooth surfaces with prescribed p-mean curvature in the Heisenberg group

Paul Yang, Jih-Hsin Cheng, Jenn-Fang Hwang, 2007, 0709.1776.

A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg group

A. Malchiodi, Jih-Hsin Cheng, Paul Yang, 2010, 1006.4455.

Existence and uniqueness for P-area minimizers in the Heisenberg group

Jih-Hsin Cheng, Paul Yang, Jenn-Fang Hwang, 2006, math/0601208.

The Lichnerowicz–Obata theorem for the Kohn Laplacian in three dimensions

Jeffrey S. Case, Paul Yang, 2020, Advances in Mathematics.

Monge-Ampere Type Equations and Applications

Alice Chang, Pengfei Guan, Paul Yang, 2003 .

The Neumann problem on the Clifford torus in $\mathbb{S}^3$

Jeffrey S. Case, Po-Lam Yung, Yi Wang, 2023, 2304.02823.