Mathematics – Analysis of PDEs
Scientific paper
2008-10-27
Nonlinear Anal. 71 (2009), pp. 4461-4470 + Corrigendum
Mathematics
Analysis of PDEs
12 pages. This is a revised version of the already published paper, which includes the corrections contained in the Corrigendu
Scientific paper
We prove some concavity properties connected to nonlinear Bernoulli type free
boundary problems. In particular, we prove a Brunn-Minkowski inequality and an
Urysohn's type inequality for the Bernoulli Constant and we study the behaviour
of the free boundary with respect to the given boundary data. Moreover we prove
a uniqueness result regarding the interior non-linear Bernoulli problem.
Bianchini Chiara
Salani Paolo
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