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arXiv · 1101.0496

Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in $\R^3$

Paolo Salani
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Abstract

By using Minkowski addition of convex functions, we prove convexity and rearrangement properties of solutions to some Hessian equations in $\R^3$ and Brunn-Minkowski and isoperimetric inequalities for related functionals.

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Paolo Salani. 2011-01-03. Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in $\R^3$. https://arxiv.org/abs/1101.0496

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