Sunto
Consideriamo il problema di determinare stime a priori di gradienti di ipersuperfici non parametriche di curvatura media costante in una sferan-dimensionaleB R, 1>R>R 0 (n), (R 0 (n) essendo una costante che dipende solo dan), senza imporre condizioni al contorno o limiti di altro tipo.
Abstract
We consider the problem of determining the existence of absolute apriori gradient bounds of nonparametric hypersurfaces of constant mean curvature in ann-dimensional sphereB R, 1>R>R 0 (n), (R 0 (n) being a constant depending only onn), without imposing boundary conditions or bounds of any sort.
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Liang, FT. Absolute gradient bounds for nonparametric hypersurfaces of constant mean curvature. Ann. Univ. Ferrara 48, 189–217 (2002). https://doi.org/10.1007/BF02824746
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DOI: https://doi.org/10.1007/BF02824746