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math.OC2011
Sharp bounds for the p-torsion of convex planar domains
Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley
We obtain some sharp estimates for the -torsion of convex planar domains in terms of their area, perimeter, and inradius. The approach we adopt relies on the use of web function…
math.OC2009
Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems
Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley +1
We exhibit several counterexamples showing that the famous Serrin's symmetry result for semilinear elliptic overdetermined problems may not hold for partially overdetermined proble…