0000000000377123

AUTHOR

Claus Gerhardt

showing 5 related works from this author

A note on the exterior capillarity problem

1975

General MathematicsCalculusMathematicsMathematische Zeitschrift
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Regularity of solutions of nonlinear variational inequalities

1973

Nonlinear systemMathematics (miscellaneous)Mechanical EngineeringVariational inequalityMathematical analysisComplex systemAnalysisMathematicsArchive for Rational Mechanics and Analysis
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Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature

1974

Mean curvature flowMean curvatureGeneral MathematicsPrescribed scalar curvature problemMathematical analysisConstant-mean-curvature surfaceTotal curvatureSectional curvatureCurvatureScalar curvatureMathematicsMathematische Zeitschrift
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Hypersurfaces of prescribed mean curvature over obstacles

1973

Let ~2 be a bounded domain in the euclidean space IR", n-> 2, with Lipschitz boundary ~ . We shall consider surfaces which are graphs of functions u defined on f2 having prescribed mean curvature H=H(x, u) with the side condition that they should be bounded from below by an obstacle ~b. The case H = 0 (minimal surfaces) has been discussed in detail by several authors, compare [6, 7, 12, 13, 17, 18, 20, 21, 24] of the references. Tomi [-31] has also investigated parametric surfaces with variable H. More general variational problems with obstructions have been discussed in [-9] and [-10]. During the session on "Variationsrechnung", held from June 18th to June 24th, 1972 in Oberwolfach, Mirand…

Pure mathematicsMean curvature flowMinimal surfaceMean curvatureEuclidean spaceGeneral MathematicsBounded functionBoundary (topology)Lipschitz continuityDomain (mathematical analysis)MathematicsMathematische Zeitschrift
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On the exterior capillarity problem

1974

General MathematicsMathematical analysisMathematicsMathematische Zeitschrift
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