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Comparison results of Talenti type for Elliptic Problems with Dirichletboundary conditions have been widely investigated in the last decades. In thispaper, we deal with Robin boundary conditions. Surprisingly, contrary to theDirichlet case, Robin boundary conditions make the comparison sensitive to thedimension, and while the planar case seems to be completely settled, in higherdimensions some open problems are yet unsolved.

A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions