A counterexample to quasiconcavity for the Gaussian $p$-Capacity potentials in convex rings
Year: 2026
Type: preprint
Abstract: We construct a smooth, strictly convex ring that admit a unique solution of Gaussian $p$-Capacity problem whose super-level sets are nonconvex. This result provide a negative answer.
Source: arXiv (Cornell University)
Author: Qin, Lei
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213286370