MathSciNet
Papers by Bo Guan:
-
Fully nonlinear elliptic equations on Kahler manifolds.
-
On estimates for fully nonlinear parabolic equations on Riemannian manifolds
(Bo Guan, Shujun Shi and Zhenan Sui), arXiv:1409.3633
-
The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds,
arXiv:1403.2133.
-
Second order estimates for Hessian type fully nonlinear elliptic
equations on Riemannian manifolds (Bo Guan and Heming Jiao),
arXiv:1401.7391;
pdf.
-
On a class of fully nonlinear elliptic equations on Hermitian manifolds
(Bo Guan and Wei Sun), to appear in
Calc. Var. PDE;
arXiv:1301.5863.
-
Second order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds,
Duke Math. J. 163 (2014), 1491-1524;
arXiv:1211.0181.
-
Interior curvature estimates and the asymptotic Plateau problem in hyperbolic spaces (Bo Guan, Joel Spruck and Ling Xiao),
J. Differential Geometry 96 (2014), 201-222;
arXiv:1209.4601.
-
The Dirichlet problem for a Monge-Ampère type equation on Hermitian
manifolds (Bo Guan and Qun Li),
Adv. Math. 246 (2013), 351-367. arXiv:1210.5526.
-
A Monge-Ampère type fully nonlinear equation on Hermitian manifolds
(Bo Guan and Qun Li),
DCDS-B 17 (2012) 1991-1999.
-
Convex hypersurfaces of constant curvature in hyperbolic space
(Bo Guan and Joel Spruck),
in
"Survey in Geometric Analysis and Relativity", ALM20, pp241-257,
HEP-IP, Beijing-Boston, 2011.
-
Complex Monge-Ampere equations and totally real submanifolds,
(Bo Guan and Qun Li)
Adv. Math. 225 (2010) 1185-1223.
-
Complex Monge-Ampere equations in Hermitian manifolds
(Bo Guan and Qun Li),
arXiv:0906.354.
-
Hypersurfaces of constant curvature in hyperbolic space II
(Bo Guan and Joel Spruck),
J. European Math. Soc. 12 (2010) 797-817.
-
Hypersurfaces of constant curvature in hyperbolic space I
(Bo Guan, Joel Spruck and Marek Szapiel),
J. Geometric Analysis 19 (2009) 772-795.
-
The Dirichlet problem for complex Monge-Ampere equations
and applications, in
"Trends in Partial Differential Equations",
ALM10, pp53-97, Higher Education Press and IP, Beijing-Boston, 2009.
-
Complete conformal metrics of negative Ricci curvature
on compact manifolds with boundary,
Internat. Math. Research Notices 2008, rnn105, 25pp.
Addendum, IMRN 2009, 4354-4355, rnp166.
-
On the regularity of pluricomplex Green functions,
Internat. Math. Research Notices 2007, rnm106, 19pp.
-
Isometric embedding of negatively curved surfaces in the Minkowski space,
Pure Applied Math. Quarterly 3 (2007) Leon Simon Special Issue 827-840.
-
Conformal metrics with prescribed curvature function on manifolds with
boundary,
Amer. J. Math. 129 (2007) 915-942.
-
Entire spacelike hypersurfaces of prescribed Gauss curvature in
Minkowski space (Bo Guan, Huai-Yu Jian and Richard Schoen),
J. Reine Angew. Math. 595 (2006) 167-188.
-
The Monge-Ampere equation with infinite boundary value
(Bo Guan and Huai-Yu Jian),
Pacific J. Math. 216 (2004) 77-94.
-
Locally convex hypersurfaces of constant curvature with boundary
(Bo Guan and Joel Spruck),
Comm. Pure Appl. Math. 57 (2004) 1311-1331.
-
Liouville property and regularity of a Hessian quotient equation
(Ji-Guang Bao, Jing-Yi Chen, Bo Guan and Min Ji),
Amer. J. Math. 125 (2003) 301-316.
-
Existence of hypersurfaces of constant Gauss curvature
with prescribed boundary (Bo Guan and J. Spruck),
J. Differential Geometry 62 (2002) 259-287.
-
Closed hypersurfaces of prescribed curvatures
(Bo Guan and Pengfei Guan),
Annals of Math. 156 (2002) 655-673.
-
Hypersurfaces of constant mean curvature in hyperbolic space with
prescribed asymptotic boundary at infinity (Bo Guan and J. Spruck),
Amer. J. Math. 122 (2000) 1039-1060.
-
The Dirichlet problem for Hessian equations on Riemannian manifolds,
Calc. Var. PDE 8 (1999) 45-69.
-
Gradient estimates for solutions of nonparametric curvature evolution with
prescribed contact angle condition,
in
Monge-Ampere Equation: Applications to Geometry and Optimization,
Contemporary Mathematics 226, AMS 1999, 105-112.
-
The Dirichlet problem for Monge-Ampere equations in non-convex domains
and spacelike hypersurfaces of constant Gauss curvature,
Trans. Amer. Math. Soc. 350 (1998) 4955-4971.
-
The Dirichlet problem for complex Monge-Ampere equations and regularity
of the pluri-complex Green function,
Comm. Anal. Geom. 6 (1998) 687-703; a correction,
8 (2000) 213-218.
-
Monge-Ampere equations on Riemannian manifolds (Bo Guan and Yanyan Li),
J. Differential Equations 132 (1996) 126-139.
-
Mean curvature motion of non-parametric hypersurfaces with contact angle
condition,
in
Elliptic and Parabolic Methods in Geometry,
A K Peters, Wellesley (MA), 1996, 47-56.
-
On the existence and regularity of hypersurfaces of prescribed Gauss
curvature with boundary,
Indiana Univ. Math. J. 44 (1995) 201-221.
-
The Dirichlet problem for a class of fully nonlinear elliptic equations,
Comm. in PDEs, 19 (1994) 399-416.
-
Boundary value problem on $S^n$ for surfaces of constant Gauss
curvature (Bo Guan and J.~Spruck),
Annals of Math. 138 (1993) 601-624.
-
Interior gradient estimates for solutions of prescribed curvature
equations of parabolic type (Bo Guan and J.~Spruck),
Indiana Univ. Math. J. 40 (1991) 1471-1481.