Families of Strictly Pseudoconvex Domains and Peak Functions.
Arkadiusz Lewandowski
Published in: Journal of geometric analysis (2017)
We prove that given a family ( G t ) of strictly pseudoconvex domains varying in C 2 topology on domains, there exists a continuously varying family of peak functions h t , ζ for all G t at every ζ ∈ ∂ G t .