Article PDF
Avoid common mistakes on your manuscript.
References
Bers, L., John, F. &Schechter, M.,Partial Differential Equations. Interscience, New York, 1962.
Caratheodory, C.,Conformal Representation. Cambridge University Press, London, 1932.
Courant, R. &Hilbert, D.,Methods of Mathematical Physics, vol. II, Partial Differential Equations, Interscience, New York, 1962 (esp. p. 350).
Giaquinta, M. &Pepe, L., Esistenza e regolarità per il problema dell'area minima con ostacoli inn variabili.Ann. Scuola Norm, Sup. Pisa, 25 (1971), 481–506.
Hartman, P. &Wintner, A., On the local behavior of non parabolic partial differential equations.Amer. J. Math., 85 (1953), 449–476.
Kinderlehrer, D., The coincidence set of solutions of certain variational inequalities.Arch. Rational Mech. Anal., 40 (1971), 231–250.
Kinderlehrer, D., The regularity of the solution to a certain variational inequality.Proc. Symp. Pure and Appl. Math., 23 AMS, Providence RI.
Kinderlehrer, D., How a minimal surface leaves an obstacle. To appear inBull. Amer. Math. Soc., 78 (1972).
Lewy, H., On the boundary behavior of minimal surfaces.Proc. Nat. Acad. Sci. USA, 37 (1951), 103–110.
— On minimal surfaces with partly free boundary.Comm. Pure Appl. Math., 4 (1951), 1–13.
Lewy, H. &Stampacchia, G., On the regularity of the solution to a variational inequality.Comm. Pure Appl. Math., 22 (1969), 153–188.
— On the existence and smoothness of solutions of some noncoercive variational inequalitiesArch. Rational Mech. Anal., 41 (1971), 141–253.
Nitsche, J. C. C., The boundary behavior of minimal surfaces.Invent. Math., 8 (1969), 313–333.
—, On new results in the theory of minimal surfaces.Bull. Amer. Math. Soc., 71 (1965) 195–270.
Rado, T.,On the problem of Plateau, Ergebnisse der Mathematik, Springer-Verlag, Berlin, 1933.
Author information
Authors and Affiliations
Additional information
This research was partially supported by contract AFOSR 71-2098 and a Borsa di Studio del C.N.R. (1971–1972).
Rights and permissions
About this article
Cite this article
Kinderlehrer, D. How a minimal surface leaves an obstacle. Acta Math. 130, 221–242 (1973). https://doi.org/10.1007/BF02392266
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02392266