Ebook: The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
- Genre: Mathematics
- Series: Memoirs of the American Mathematical Society 1348
- Year: 2022
- Publisher: American Mathematical Society
- City: Providence
- Language: English
- pdf
In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, Cap A, where A -capacity is associated with a nonlinear elliptic PDE whose structure is modeled on the p-Laplace equation and whose solutions in an open set are called A -harmonic.
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