@incollection{AST_1984__118__69_0,
author = {Hildebrandt, S.},
title = {Minimal surfaces with free boundaries and related problems},
booktitle = {Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983},
series = {Ast\'erisque},
pages = {69--88},
year = {1984},
publisher = {Soci\'et\'e math\'ematique de France},
number = {118},
mrnumber = {761738},
zbl = {0569.53004},
language = {en},
url = {https://www.numdam.org/item/AST_1984__118__69_0/}
}
TY - CHAP AU - Hildebrandt, S. TI - Minimal surfaces with free boundaries and related problems BT - Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983 AU - Collectif T3 - Astérisque PY - 1984 SP - 69 EP - 88 IS - 118 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1984__118__69_0/ LA - en ID - AST_1984__118__69_0 ER -
%0 Book Section %A Hildebrandt, S. %T Minimal surfaces with free boundaries and related problems %B Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983 %A Collectif %S Astérisque %D 1984 %P 69-88 %N 118 %I Société mathématique de France %U https://www.numdam.org/item/AST_1984__118__69_0/ %G en %F AST_1984__118__69_0
Hildebrandt, S. Minimal surfaces with free boundaries and related problems, dans Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983, Astérisque, no. 118 (1984), pp. 69-88. https://www.numdam.org/item/AST_1984__118__69_0/
[1] , The existence of minimal surfaces of given topological structure under prescribed boundary conditions. Acta Math. 72 (1940), 51-98. | MR | JFM | DOI
[2] , Dirichlet's principle, conformai mapping, and minimal surfaces. Interscience, New York, 1950. | MR | Zbl
[3] , Über die Stetigkeit teilweise freier Minimalflächen, Manuscripta math. 36 (1981), 241-251. | MR | Zbl | EuDML | DOI
[4] , Un problème variationel bidimensionel possédant des extremales bornées et dicontinues, C.R. Acad. Scienc. Paris. | Zbl
[5] , Questions proposées, Ann. Math. Pure Appl. 7, 68, 156 (1816), 99-100. | MR | EuDML | Numdam
[6] , Über die Regularität schwacher Losungen des Systems , Dissertation, Düsseldorf, 1979.
[7] , Regularity of weak -surfaces, Journal für die Reine Angew. Math. 329 (1981), 1-15. | MR | Zbl | EuDML
[8] , and , On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area, Manuscripta math. 35. (1981), 387-410. | MR | Zbl | EuDML | DOI
[9] , and , Regularity for stationary surfaces of constant mean curvature with free boundaries, Manuscript. | Zbl | DOI
[10] and , Some regularity results for quasilinear elliptic systems of second order, Math. Z. 142 (1975), 67-86. | MR | Zbl | EuDML | DOI
[11] and , Minimal surfaces with free boundaries, Acta Math. 143 (1979), 251-272. | MR | Zbl | DOI
[12] and , A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles, to appear in Archive for Rat. Mech. Analysis. | MR | Zbl
[13] and , Optimal boundary regularity for minimal surfaces with a free boundary, Manuscripta math. 33 (1981), 357-364. | MR | Zbl | EuDML | DOI
[14] and , Geometric properties of minimal surfaces with free boundaries, to appear in Math. Z. | MR | Zbl | EuDML
[15] , The optimal version of Hildebrandt's and Nitsche's estimate of the length of the trace of a minimal surface with a partially free boundary. Preprint, 1983.
[16] , On minimal surfaces with partially free boundary. Comm. Pure Appl. Math. 4 (1951), 1-13. | MR | DOI
[17] , Multiple integrals in the calculus of variations. Springer, Berlin-Heidelberg-New York, 1966. | MR | Zbl
[18] , Vorlesungen über Minimalflächen, Springer, Berlin-Heidelberg-New York, 1975. | MR | Zbl
[19] , Fortgesetzte Untersuchungen über spezielle Minimalflächen, Monatsberichte der Königlichen Akad. Wiss. Berlin (1872), 3-27. | JFM
, Fortgesetzte Untersuchungen über spezielle Minimalflächen, Gesammelte Math. Abhandlungen I (1890), 126-148. | DOI
[20] , The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces, Annals of Math. 103 (1976), 489-539. | MR | Zbl | DOI
[21] , Boundary regularity for various capillarity and boundary problems. Comm. P.D.E. 2 (1977), 323-357. | MR | Zbl | DOI
[22] , Hölder continuity of solutions of elliptic systems, Manuscripta math. 5 (1971), 299-308. | MR | Zbl | EuDML | DOI







