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arXiv · 1311.3233

Combination and mean width rearrangements of solutions of elliptic equations in convex sets

Paolo Salani
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Abstract

We introduce a method to compare solutions of different equations in different domains. As a consequence, we define a new kind of rearrangement which applies to solution of fully nonlinear equations $F(x,u,Du,D^2u)=0$, not necessarily in divergence form, in convex domains and we obtain Talenti's type results for this kind of rearrangement.

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Paolo Salani. 2013-11-13. Combination and mean width rearrangements of solutions of elliptic equations in convex sets. https://doi.org/10.1016/j.anihpc.2014.04.001

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