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.