Pacific Journal of Mathematics

On the behavior of a capillary surface at a re-entrant corner.

Nicholas J. Korevaar

Article information

Source
Pacific J. Math., Volume 88, Number 2 (1980), 379-385.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102779521

Mathematical Reviews number (MathSciNet)
MR607985

Zentralblatt MATH identifier
0475.49034

Subjects
Primary: 49F10
Secondary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42] 76D15

Citation

Korevaar, Nicholas J. On the behavior of a capillary surface at a re-entrant corner. Pacific J. Math. 88 (1980), no. 2, 379--385. https://projecteuclid.org/euclid.pjm/1102779521


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References

  • [1] P Concus and R. Finn, On the behavior of a capillary surface in a wedge, Proc. at. Acad. Sci., 63 (1969), 292-299.
  • [2] P Concus and R. Finn, On capillary free surfaces in a gravitational field, Acta Math., 132 (1974), 207-223.
  • [3] M. Emmer, Esistenzd, unicit e regolarita nelle superfici di equilibrio net capillari, Ann. Univ. Ferrara Sez VII, 18 (1973), 79-94.
  • [4] R. Finn and C. Gerhardt, The internal sphere condition and the capillarity problem, Ann. Mat. Pra Appl. IV, 112 (1977), 13-31. 5L. Simon, Regularity of capillary surfaces over domains with corners, (toappear in Pacific J. Math.).
  • [6] L. Simon and J. Spruck, Existence and regularity of a capillary surface with pre- scribed contact angle, Arch. Rational Mech. Anal., 61 (1976), 19-34.