Michael, J. H.; Simon, L. M. Sobolev and mean-value inequalities on generalised submanifolds of R\(^n\). (English) Zbl 0256.53006 Commun. Pure Appl. Math. 26, 361-379 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 ReviewsCited in 195 Documents 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 PDFBibTeX XMLCite \textit{J. H. Michael} and \textit{L. M. Simon}, Commun. Pure Appl. Math. 26, 361--379 (1973; Zbl 0256.53006) Full Text: DOI 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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.