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math.FA2026
Quasicontinuity of functions and the Vitali-Carathéodory property on general metric spaces
Anders Björn, Jana Björn
This note is a follow up on our recent paper with L. Malý (to appear in Rev. Mat. Complut.). We provide a simple example of a compact metric space for which $L^\infty…
math.AP2026
Barriers, Barenblatt solutions and regularity of soda can domains for the heat equation and nonlinear -parabolic equations
Anders Björn, Jana Björn
In this paper we study when the origin is a regular (or irregular) boundary point for the so-called soda can domains of the type \[ Θ_{l,θ}:= \{(x,t) \in \mathbf{R}^{n+1}:…