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学术报告:An overdetermined boundary value problem for Monge-Ampere operator
编辑:发布时间:2016年10月11日

人:Researcher  Nunzia Gavitone

                   Dipartimento di Matematica e Applicazioni \R. Caccioppoli"

                   Universit_a degli studi di Napoli Federico II

报告题目:An overdetermined boundary value problem for Monge-Ampere operator

报告时间:20161014日上午1000

报告地点:海韵行政楼B313

联系人:

报告摘要:

The study of the optimal constant in an Hessian-type Sobolev inequality leads to a fully

nonlinear boundary value problem, overdetermined with non standard boundary conditions.

We show that all the solutions have ellipsoidal symmetry. In the proof we use the maximum

principle applied to a suitable auxiliary function in conjunction with an entropy estimate from

a_ne curvature ow. This is a joint work with B. Brandolini, C. Nitsch and C. Trombetti.

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