Boundary value problems for non-parametric surfaces of prescribed mean curvature
Enrico Giusti (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Boundary value problems for non-parametric surfaces of prescribed mean curvature
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Let be a bounded, convex planar domain whose boundary has a not too degenerate curvature. In this paper we provide partial answers to an identification question associated with the boundary value problem We prove two results: 1) If is not a ball and if one considers only solutions with , then there exist at most finitely many pairs of coefficients so that the normal derivative equals a given . 2) If one imposes no sign condition on the...