@article{AIHPC_1986__3_6_411_0, author = {Williams, Graham H.}, title = {Global regularity for solutions of the minimal surface equation with continuous boundary values}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {411--429}, publisher = {Gauthier-Villars}, volume = {3}, number = {6}, year = {1986}, mrnumber = {870863}, zbl = {0627.49020}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1986__3_6_411_0/} }
TY - JOUR AU - Williams, Graham H. TI - Global regularity for solutions of the minimal surface equation with continuous boundary values JO - Annales de l'I.H.P. Analyse non linéaire PY - 1986 SP - 411 EP - 429 VL - 3 IS - 6 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1986__3_6_411_0/ LA - en ID - AIHPC_1986__3_6_411_0 ER -
%0 Journal Article %A Williams, Graham H. %T Global regularity for solutions of the minimal surface equation with continuous boundary values %J Annales de l'I.H.P. Analyse non linéaire %D 1986 %P 411-429 %V 3 %N 6 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1986__3_6_411_0/ %G en %F AIHPC_1986__3_6_411_0
Williams, Graham H. Global regularity for solutions of the minimal surface equation with continuous boundary values. Annales de l'I.H.P. Analyse non linéaire, Tome 3 (1986) no. 6, pp. 411-429. http://www.numdam.org/item/AIHPC_1986__3_6_411_0/
[GG] Global C1,α-regularity for second-order quasilinear elliptic equations in divergence form. Preprint. J. Reine Angew. Math., t. 351, 1984, p. 55-65. | MR | Zbl
, ,[GT] Elliptic partial differential equations of second order. Springer-Verlag, Heidelberg, New York, 1977. | MR | Zbl
, ,[G1] Superfici cartesiane di are minima. Rend. Sem. Mat. Fis. Milano, t. 40, 1970, p. 135-153. | MR | Zbl
,[G2] Boundary behaviour of non-parametric minimal surfaces. Indiana Univ. Math. J., t. 22, 1972, p. 435-444. | MR | Zbl
,[G3] Minimal surfaces and functions of bounded variation. Birkhaüser-Boston Inc. 1984. | MR | Zbl
,[JS] The Dirichlet problem for the minimal surface equation in higher dimensions. J. Reine Angew. Math., t. 229, 1968, p. 170-187. | MR | Zbl
, ,[L1] The quasilinear Dirichlet problem with decreased regularity at the boundary. Comm. Part. Diff. Equats, t. 6, 1981, p. 437-497. | MR | Zbl
,[L2] The Dirichlet problem for quasilinear elliptic equations with Hölder continuous boundary values. Arch. Rat. Mech. Anal., t. 79, 1982, p. 305-323. | MR | Zbl
,[L3] The Dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data. Preprint. Comm. Partial Differential Equations, t. 11, 1986, p. 167-229. | MR | Zbl
,[L0] Approximation of functions. Holt, Rinehart and Winston, New York, 1966. | MR | Zbl
,[M] Extremal barriers on cones with Phragmèn-Lindelöf theorems and other applications. Ann. Mat. Pura Appl. (4), t. 90, 1971, p. 297-329. | MR | Zbl
,[S1] Global estimates of Hölder continuity for a class of divergence-form elliptic equations. Arch. Rat. Mech. Anal., t. 56, 1974, p. 253-272. | MR | Zbl
,[S2] Boundary behaviour of solutions of the nonparametric least area problem. Bull. Austral. Math. Soc., t. 26, 1982, p. 17-27. | MR | Zbl
,[S3] Personal communication.
,[W1] Solutions of the minimal surface equation continuous and discontinuous at the boundary. Preprint. To appear. Comm. Partial Differential Equations. | MR | Zbl
,[W2] The Dirichlet problem for the minimal surface equation with Lipschitz continuous boundary data. To appear. J. Reine Angew. Math., t. 354, 1984, p. 123-140. | MR | Zbl
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