Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in R³
classification
🧮 math.AP
keywords
brunn-minkowskiconvexityequationshessianinequalitiessolutionsadditionconvex
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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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