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

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

2011-01-03

arxiv.org/abs/1101.0496v1

Mathematics

Analysis of PDEs

Scientific paper

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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