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An extremal case of the equation of prescribed Weingarten curvature

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Holland, James

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Springer

Abstract

In this paper we investigate the existence and regularity of solutions to a Dirichlet problem for a Hessian quotient equation on the sphere. The equation in question arises as the determining equation for the support function of a convex surface which is

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Calculus of Variations and Partial Differential Equations

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2037-12-31