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Existence and regularity of a capillary surface with prescribed contact angle

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References

  1. Concus, P., & R. Finn, On capillary free surfaces in a gravitational field. Acta Math. 132 (1974).

  2. Ladyzhenskaya, O.A., & N.N. Ural'tseva, Linear and Quasilinear Elliptic Equations. New York: Academic Press 1966.

    Google Scholar 

  3. Michael, J., & L. Simon, Sobolev and mean value inequalities on generalized submanifolds of IR″. Comm. Pure Appl. Math. 26 (1973).

  4. Simon, L., Boundary regularity for the non-parametric least area problem. To appear.

  5. Simon, L., Global estimates of Hölder continuity for a class of divergence-form elliptic equations. Archive Rational Mech. Analysis 56 (1975).

  6. Simon, L., Interior gradient bounds for non-uniformly elliptic equations, I. To appear.

  7. Spruck, J., On the existence of a capillary surface with prescribed angle of contact. To appear.

  8. Ural'tseva, N., The solvability of the capillarity problem. Vestnik Leningrad Univ., No. 19; Mat. Meh. Astronom. Vyp. 4 (1973).

  9. Ural'tseva, N., Non-linear boundary value problems for equations of minimal surface type. Proc. Steklov Inst. Math. 116 (1971).

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, California

    Leon Simon & Joel Spruck

  2. Department of Mathematics, University of Minnesota, Minneapolis

    Leon Simon & Joel Spruck

Authors
  1. Leon Simon
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  2. Joel Spruck
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Additional information

Communicated by J. Serrin

Note. The research of Prof. Simon was supported in part by the National Science Foundation Grant GP-35543 and AFOSR Contract F-44620-72-C-0031.

The research of Prof. Spruck was supported in part by Army Research Office Grant DAHCO 47460159.

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Simon, L., Spruck, J. Existence and regularity of a capillary surface with prescribed contact angle. Arch. Rational Mech. Anal. 61, 19–34 (1976). https://doi.org/10.1007/BF00251860

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  • DOI: https://doi.org/10.1007/BF00251860

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