On the structure of certain Weingarten surfaces with boundary a circle

Fabiano Gustavo Braga Brito; Ricardo Sa Earp

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 2, page 243-255
  • ISSN: 0240-2963

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Braga Brito, Fabiano Gustavo, and Earp, Ricardo Sa. "On the structure of certain Weingarten surfaces with boundary a circle." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.2 (1997): 243-255. <http://eudml.org/doc/73418>.

@article{BragaBrito1997,
author = {Braga Brito, Fabiano Gustavo, Earp, Ricardo Sa},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {disk-type Weingarten surfaces; maximum principle; Alexandrov reflection principle; umbilicial points},
language = {eng},
number = {2},
pages = {243-255},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On the structure of certain Weingarten surfaces with boundary a circle},
url = {http://eudml.org/doc/73418},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Braga Brito, Fabiano Gustavo
AU - Earp, Ricardo Sa
TI - On the structure of certain Weingarten surfaces with boundary a circle
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 2
SP - 243
EP - 255
LA - eng
KW - disk-type Weingarten surfaces; maximum principle; Alexandrov reflection principle; umbilicial points
UR - http://eudml.org/doc/73418
ER -

References

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  1. [1] Barbosa ( J.L.).— Constant Mean Curvature Surfaces with Planar Boundary, Matemática Comtemporânea, 1 (1991), pp. 3-15. Zbl0854.53010MR1304297
  2. [2] Brito ( F.) and Earp ( R. Sa).— Geometric Configurations of Constant Mean Curvature Surfaces with Planar Boundary, An. Acad. Bras. Ci, 63, n° 1 (1991). Zbl0803.53011MR1115489
  3. [3] Bryant ( R.) . — Complex Analysis and a Class of Weingarten Surfaces, Preprint 
  4. [4] Caffarelli ( L.), Nirenberg ( L.) and Spruck ( J.).— The Dirichlet Problem for Non-linear Second Order Elliptic Equations II. Complex Monge-Ampère and Uniformly Elliptic Equations, Comm. Pure Appl. Math.38 (1985), pp. 209-252. Zbl0598.35048MR780073
  5. [5] Chern ( S.-S.).— On Special W-surfaces, Trans. A.M.S. (1955), pp. 783-786. Zbl0067.13801MR74857
  6. [6] Earp ( R. Sa), Brito ( F.), Meeks ( W.) and Rosenberg ( H.).— Structure Theorems for Constant Mean Curvature Surfaces Bounded by a Planar Curve, Indiana Univ. Math. J.40, n° 1 (1991), pp. 333-343. Zbl0759.53003MR1101235
  7. [7] Hartman ( P.) and Wintner ( W.).— Umbilical Points and W-surfaces, Amer. J. Math.76 (1954), pp. 502-508. Zbl0055.39601MR63082
  8. [8] Hopf ( H.) . — Differential Geometry in the Large, Lect. Notes in Math., Springer-Verlag, 1000 (1983). Zbl0526.53002MR707850
  9. [9] Kapouleas ( N.).— Compact Constant Mean Curvature Surfaces in Euclidean Three-Space, J. Diff. Geom.33 (1991), pp. 683-715. Zbl0727.53063MR1100207
  10. [10] Meeks ( W.H.). — The Topology and Geometry of Embedded Surfaces of Constant Mean Curvature, III, J. Diff. Geom.27 (1988), pp. 539-552. Zbl0617.53007MR940118
  11. [11] Morrey ( C.B.). — On the Analyticity of the Solutions of Analytic Non-linear Elliptic Systems of Partial Differential Equations I, II, Amer. J. of Math.80 (1958), pp. 198-218, 219-234. Zbl0081.09402MR106336

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