Titlebook: Variational Methods for Free Surface Interfaces; Proceedings of a Con Paul Concus,Robert Finn Conference proceedings 1987 Springer-Verlag N

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,Boundary Behavior of Nonparametric Minimal Surfaces—Some Theorems and Conjectures,ept possibly at (0,0), where it might have a jump discontinuity. Then for all directions from (0,0) into ., the radial limits of . exist, where . is the solution of the minimal surface equation in . or of an equation of prescribed (bounded) mean curvature in . with . and .. Some conjectures which wo

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On Two Isoperimetric Problems with Free Boundary Conditions,e [25], Grüter—Jost [11], and Jost [19]. The question of boundary regularity was discussed by Hildebrandt—Nitsche [14], [15], [16], [17], Grüter—Hildebrandt—Nitsche [9], Dziuk [3], [4], Küster [20], and Ye [26]. Various regularity theorems are optimal, although several questions are still open. A su

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,Convex Functions Methods in the Dirichlet Problem for Euler—Lagrange Equations,s. Such problems arise from the relativity theory and continuous mechanics and can be described in terms of variational problems for the .-dimensional multiple integrals . whose integrands .(., ., .) are defined only for vectors . belonging to prescribed domain . in ... If . coincides with the whole

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