Akman and colleagues study two classical potential-theoretic problems in convex geometry. The first problem in an inequality of Brunn-Minkowski type for a nonlinear capacity, CapA, where A-capacity is associated with a nonlinear elliptic partial differential equation whose structure is modeled on the p-Laplace equations and whose solutions are in an open set called A-harmonic. In the second problem, they study a Minkowski problem for a certain measure associated with a compact convex set E with non-empty interior and its A-harmonic capacity function in the complement of E. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
Murat Akman, University of Connecticut, Storrs, CT.
Jasun Gong, Fordham University, Bronx, NY.
Jay Hineman, Data Analytics, Durham, NC.
John Lewis, University of Kentucky, Lexington, KY.
Andrew Vogel, Syracuse University, NY.
