How a minimal surface leaves an obstacle
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- by David Kinderlehrer PDF
- Bull. Amer. Math. Soc. 78 (1972), 969-970
References
- M. Giaquinta and L. Pepe, Esistenza e regolarità per il problema dell’area minima con ostacoli in $n$ variabili, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 25 (1971), 481–507 (Italian). MR 305205
- David Kinderlehrer, The coincidence set of solutions of certain variational inequalities, Arch. Rational Mech. Anal. 40 (1970/71), 231–250. MR 271799, DOI 10.1007/BF00281484
- David Kinderlehrer, The regularity of the solution to a certain variational inequality, Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971) Amer. Math. Soc., Providence, R.I., 1973, pp. 353–363. MR 0388221
- Hans Lewy, On the boundary behavior of minimal surfaces, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 103–110. MR 49398, DOI 10.1073/pnas.37.2.103
- Hans Lewy, On mimimal surfaces with partially free boundary, Comm. Pure Appl. Math. 4 (1951), 1–13. MR 52711, DOI 10.1002/cpa.3160040102
- Hans Lewy and Guido Stampacchia, On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math. 22 (1969), 153–188. MR 247551, DOI 10.1002/cpa.3160220203
- Hans Lewy and Guido Stampacchia, On existence and smoothness of solutions of some non-coercive variational inequalities, Arch. Rational Mech. Anal. 41 (1971), 241–253. MR 346313, DOI 10.1007/BF00250528
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 969-970
- MSC (1970): Primary 35J20; Secondary 53A10
- DOI: https://doi.org/10.1090/S0002-9904-1972-13071-4
- MathSciNet review: 0306741