On two-dimensional immersions of prescribed mean curvature in R^n
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🧮 math.DG
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curvatureimmersionsmeanprescribedtwo-dimensionalcertainclassicalconcepts
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We consider two-dimensional immersions of disc-type in R^n. We focus well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type condition we give a priori-estimates of the principle curvatures for certain graphs in R^4 with prescribed mean curvature.
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