We prove some concavity properties connected to nonlinear Bernoulli type free boundary problems. In particular, we prove a BrunnMinkowski inequality and an Urysohn's type inequality for the Bernoulli Constant and we study the behavior of the free boundary with respect to the given boundary data. Moreover we prove a uniqueness result regarding the interior problem.

Concavity properties for elliptic free boundary problems / C. Bianchini; P. Salani. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 71:(2009), pp. 4461-4470. [10.1016/j.na.2009.03.004]

Concavity properties for elliptic free boundary problems

BIANCHINI, CHIARA;SALANI, PAOLO
2009

Abstract

We prove some concavity properties connected to nonlinear Bernoulli type free boundary problems. In particular, we prove a BrunnMinkowski inequality and an Urysohn's type inequality for the Bernoulli Constant and we study the behavior of the free boundary with respect to the given boundary data. Moreover we prove a uniqueness result regarding the interior problem.
2009
71
4461
4470
C. Bianchini; P. Salani
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/371273
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