Seminar
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| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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.