-
1
-
-
0041759054
-
The convex hull property and the topology of hypersurfaces with nonnegative curvature
-
to appear
-
S. Alexander & M. Ghomi, The convex hull property and the topology of hypersurfaces with nonnegative curvature, Adv. in Math., to appear.
-
Adv. In Math
-
-
Alexander, S.1
Ghomi, M.2
-
2
-
-
0000342251
-
A localization property of viscosity solutions to the Monge-Ampere equation and their strict convexity
-
L.A. Caffarelli, A localization property of viscosity solutions to the Monge-Ampere equation and their strict convexity, Annals of Math. 131 (1990) 129-134.
-
(1990)
Annals of Math
, vol.131
, pp. 129-134
-
-
Caffarelli, L.A.1
-
3
-
-
0002068394
-
Interior W2, p estimates for solutions of the Monge-Ampere equation
-
L.A. Caffarelli, Interior W2, p estimates for solutions of the Monge-Ampere equation, Annals of Math. 131 (1990) 135-150.
-
(1990)
Annals of Math
, vol.131
, pp. 135-150
-
-
Caffarelli, L.A.1
-
5
-
-
84990557319
-
The Dirichlet problem for nonlinear second-order elliptic equations II. Complex Monge-Ampere and uniformly elliptic equations
-
L.A. Caffarelli, J.J. Kohn, L. Nirenberg & J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations II. Complex Monge-Ampere and uniformly elliptic equations, Comm. Pure Applied Math. 38 (1985) 209-252.
-
(1985)
Comm. Pure Applied Math
, vol.38
, pp. 209-252
-
-
Caffarelli, L.A.1
Kohn, J.J.2
Nirenberg, L.3
Spruck, J.4
-
6
-
-
84990580987
-
The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampere equations
-
L.A. Caffarelli, L. Nirenberg & J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampere equations, Comm. Pure Applied Math. 37 (1984) 369-402.
-
(1984)
Comm. Pure Applied Math
, vol.37
, pp. 369-402
-
-
Caffarelli, L.A.1
Nirenberg, L.2
Spruck, J.3
-
8
-
-
0005680016
-
Strictly convex submanifolds and hypersurfaces of positive curvature
-
M. Ghomi, Strictly convex submanifolds and hypersurfaces of positive curvature, J. Differential Geom. 57 (2001) 239-271.
-
(2001)
J. Differential Geom
, vol.57
, pp. 239-271
-
-
Ghomi, M.1
-
10
-
-
0032085615
-
Embedding and knotting of positive curvature surfaces in 3-space
-
H. Gluck & L. Pan, Embedding and knotting of positive curvature surfaces in 3-space, Topology 37 (1998) 851-873.
-
(1998)
Topology
, vol.37
, pp. 851-873
-
-
Gluck, H.1
Pan, L.2
-
11
-
-
22444453647
-
The Dirichlet problem for Monge-Ampere equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature
-
B. Guan, 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.
-
(1998)
Trans. Amer. Math. Soc
, vol.350
, pp. 4955-4971
-
-
Guan, B.1
-
12
-
-
0000978591
-
Boundary value problem on Sn for surfaces of constant Gauss curvature
-
B. Guan & J. Spruck, Boundary value problem on Sn for surfaces of constant Gauss curvature, Annals of Math. 138 (1993) 601-624.
-
(1993)
Annals of Math
, vol.138
, pp. 601-624
-
-
Guan, B.1
Spruck, J.2
-
13
-
-
0011035902
-
C2 a priori estimates for degenerate Monge-Ampere equations
-
2 a priori estimates for degenerate Monge-Ampere equations, Duke Math. J. 86 (1997) 323-346.
-
(1997)
Duke Math. J
, vol.86
, pp. 323-346
-
-
Guan, P.-F.1
-
14
-
-
0011610797
-
On the Dirichlet problem for degenerate Monge-Ampere equations
-
P.-F. Guan, N.S. Trudinger & X.-J. Wang, On the Dirichlet problem for degenerate Monge-Ampere equations, Acta Math. 182 (1999) 87-104.
-
(1999)
Acta Math
, vol.182
, pp. 87-104
-
-
Guan, P.-F.1
Trudinger, N.S.2
Wang, X.-J.3
-
16
-
-
0041782394
-
Bridge principle for constant and positive Gauss curvature surfaces
-
L. Hauswirth, Bridge principle for constant and positive Gauss curvature surfaces, Comm. Anal. Geom. 7 (1999) 497-550.
-
(1999)
Comm. Anal. Geom
, vol.7
, pp. 497-550
-
-
Hauswirth, L.1
-
18
-
-
84990581574
-
Boundary value problems for surfaces of constant Gauss curvature
-
D. Hoffman, H. Rosenberg & J. Spruck, Boundary value problems for surfaces of constant Gauss curvature, Comm. Pure Applied Math. 45 (1992) 1051-1062.
-
(1992)
Comm. Pure Applied Math
, vol.45
, pp. 1051-1062
-
-
Hoffman, D.1
Rosenberg, H.2
Spruck, J.3
-
19
-
-
0039615774
-
The estimates near the boundary for solutions of Monge-Ampere equations
-
J.-X. Hong, The estimates near the boundary for solutions of Monge-Ampere equations, J. Partial Diff. Equations 7 (1994) 97-110.
-
(1994)
J. Partial Diff. Equations
, vol.7
, pp. 97-110
-
-
Hong, J.-X.1
-
20
-
-
33646861117
-
Classical solvability of the Dirichlet problem for the MongeAmpere equation
-
N.M. Ivochkina, Classical solvability of the Dirichlet problem for the MongeAmpere equation, Zapiski Nauchn. Sem. LOMI AN SSSR 33 (1983) 72-79.
-
(1983)
Zapiski Nauchn. Sem. LOMI AN SSSR
, vol.33
, pp. 72-79
-
-
Ivochkina, N.M.1
-
23
-
-
0002296910
-
Boundedly nonhomogeneous elliptic and parabolic equations in a domain
-
(Russian)
-
N.V. Krylov, Boundedly nonhomogeneous elliptic and parabolic equations in a domain, Izv. Akad. Nauk. SSSR Ser. Mat. 47 (1983), 75-108 (Russian).
-
(1983)
Izv. Akad. Nauk. SSSR Ser. Mat
, vol.47
, pp. 75-108
-
-
Krylov, N.V.1
-
24
-
-
0039753684
-
Boundedly nonhomogeneous elliptic and parabolic equations in a domain
-
N.V. Krylov, Boundedly nonhomogeneous elliptic and parabolic equations in a domain, Math. USSR Izv. 22 (1984), 67-97.
-
(1984)
Math. USSR Izv
, vol.22
, pp. 67-97
-
-
Krylov, N.V.1
-
25
-
-
3342976738
-
On the general notion of fully nonlinear second order elliptic equations
-
N.V. Krylov, On the general notion of fully nonlinear second order elliptic equations, Trans. Amer. Math. Soc. 347 (1995), 857-895.
-
(1995)
Trans. Amer. Math. Soc
, vol.347
, pp. 857-895
-
-
Krylov, N.V.1
-
26
-
-
0007384467
-
Fully nonlinear second order elliptic equations: Recent development
-
N.V. Krylov, Fully nonlinear second order elliptic equations: recent development, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997) 569-595.
-
(1997)
Ann. Scuola Norm. Sup. Pisa Cl. Sci
, vol.25
, Issue.4
, pp. 569-595
-
-
Krylov, N.V.1
-
28
-
-
0001312081
-
Hypersurfaces of constant curvature in space forms
-
H. Rosenberg, Hypersurfaces of constant curvature in space forms, Bull. Sciences Mathematiques 117 (1993) 211-239.
-
(1993)
Bull. Sciences Mathematiques
, vol.117
, pp. 211-239
-
-
Rosenberg, H.1
-
29
-
-
84972498466
-
On the existence of convex hypersurfaces of constant Gauss curvature in hyperbolic space
-
H. Rosenberg and J. Spruck, On the existence of convex hypersurfaces of constant Gauss curvature in hyperbolic space, J. Differential Geom. 40 (1994) 379-409.
-
(1994)
J. Differential Geom
, vol.40
, pp. 379-409
-
-
Rosenberg, H.1
Spruck, J.2
-
30
-
-
0042238476
-
Fully nonlinear elliptic equations and applications to geometry
-
(Zurich, 1994), Birkhauser, Basel
-
J. Spruck, Fully nonlinear elliptic equations and applications to geometry, Proc. International Congress Math. (Zurich, 1994), 1145-1152, Birkhauser, Basel, 1995.
-
(1995)
Proc. International Congress Math
, pp. 1145-1152
-
-
Spruck, J.1
-
31
-
-
84974054589
-
On second derivative estimates for equations of Monge-Ampère type
-
N.S. Trudinger & J.I.E. Urbas, On second derivative estimates for equations of Monge-Ampère type, Bull. Austral. Math. Soc., 30 (1984) 321-334.
-
(1984)
Bull. Austral. Math. Soc.
, vol.30
, pp. 321-334
-
-
Trudinger, N.S.1
Urbas, J.I.E.2
-
32
-
-
0036035391
-
On locally convex hypersurfaces with boundary
-
N.S. Trudinger & X. Wang, On locally convex hypersurfaces with boundary, J. Reine Angew. Math. 551 (2002) 11-32.
-
(2002)
J. Reine Angew. Math
, vol.551
, pp. 11-32
-
-
Trudinger, N.S.1
Wang, X.2
|