3 papers
math.AP2025
Carleson-type removability for -parabolic equations
MichaŠBorowski, Theo Elenius, Leah Schätzler +1
We characterize removable sets for Hölder continuous solutions to degenerate parabolic equations of -growth. A sufficient and necessary condition for a set to be removable is g…
math.AP2025
Global higher integrability for systems with -growth structure in noncylindrical domains
Kristian Moring, Christoph Scheven, Leah Schätzler
We consider the Cauchy-Dirichlet problem to systems with -growth structure with , whose prototype is \begin{equation*} \partial_t u- \operatorname{div} \big( |Du…
math.AP2025
Global higher integrability and Hardy inequalities for double-phase functionals under a capacity density condition
Fabian Bäuerlein, Samuele Riccò, Leah Schätzler
We prove global higher integrability for functionals of double-phase type under a uniform local capacity density condition on the complement of the considered domain $Ω\subset \ma…