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Sobolev and mean-value inequalities on generalised submanifolds of R$$^n$$. (English) Zbl 0256.53006

##### MSC:
 53A05 Surfaces in Euclidean and related spaces 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 52A40 Inequalities and extremum problems involving convexity in convex geometry
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##### References:
 [1] Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions, Notes of Lectures held at the Courant Institute, New York University, 1970. [2] Bombieri, Arch. Rat. Mech. Anal. 32 pp 255– (1969) [3] and , Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. [4] Miranda, Rend. Sem. Mat. Univ. Padova 38 (1967) [5] Morrey, Univ. of California Publ. in Mathematics, new ser. 1 pp 1– (1943) [6] Osserman, Bull. Amer. Math. Soc. 75 pp 1092– (1969) [7] Thesis, University of Adelaide, 1971. [8] Interior gradient bounds for non-uniformly elliptic equations. (To appear.) [9] Global estimates of Hölder continuity for a class of divergence form elliptic equations. (To appear.) [10] Gradient estimates and mean curvature. (To appear.) [11] Trudinger, Proc. Nat. Acad. Sci. U.S.A. 69 pp 821– (1972)
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