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A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions (1909.11950v2)
Published 26 Sep 2019 in math.AP
Abstract: Comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated in the last decades. In this paper, we deal with Robin boundary conditions. Surprisingly, contrary to the Dirichlet case, Robin boundary conditions make the comparison sensitive to the dimension, and while the planar case seems to be completely settled, in higher dimensions some open problems are yet unsolved.
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