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Home » HA Postdoc Seminar: The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacities (Colloquium talk)

Seminar

HA Postdoc Seminar: The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacities (Colloquium talk) March 13, 2017 (03:30 PM PDT - 05:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Murat Akman (University of Connecticut)
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Classical Brunn-Minkowski inequality states that n-th root of volume is a concave function with respect to Minkowski addition. Brunn- Minkowski type inequalities have also been proved for other homogeneous functionals; Newtonian capacity, torsional rigidity, etc.. In the first part of my talk, I will discuss this inequality for capacities associated to a nonlinear elliptic PDE.



Classical Minkowski problem asks for finding a convex body with prescribed Gaussian curvature. In the second part of my talk, I will talk about existence and uniqueness problem for a Minkowski problem corresponding to a capacitary function associated to the same elliptic PDE.

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