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On the symmetric rearrangement of the gradient of a Sobolev function by Amato, Vincenzo; Gentile, Andrea is a scholarly article available to read on EtoBox.

What is On the symmetric rearrangement of the gradient of a Sobolev function about?

In this paper, we generalize a classical comparison result for solutions to Hamilton-Jacobi equations with Dirichlet boundary conditions, to solutions to Hamilton-Jacobi equations with non-zero boundary trace. As a consequence, we prove the isoperimetric inequality for the torsional rigidity (with Robin boundary conditions) and for other functionals involving such boundary conditions.

Author

Amato, Vincenzo; Gentile, Andrea

Published

2022

Language

EN