Year: 2026
Type: preprint
Abstract: We introduce graph-compatible powers determined by the coupling graph for multicomponent weakly coupled elliptic systems and establish concavity of the associated transformed components through a concave-envelope method and a weighted viscosity comparison principle. We further establish a componentwise constant-rank theorem for the transformed Hessians, which yields strict power concavity under additional assumptions.
Source: arXiv (Cornell University)
Authors: Li, Jiahuan, Zhou, Hanpeng
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7168277287
Cites:
Cited by:
Related to: