Global higher integrability and Hardy inequality for double-phase functionals

Samuele Riccò (TU Vienna)

Feb 27. 2025, 13:45 — 14:15

In this talk we consider a new notion of variational capacity associated to the double-phase integrand and we work on domains whose complements are locally uniformly fat with respect to it. Under this assumption, we show an integral Hardy inequality and a global higher integrability result for quasi-minimizers of functionals of double-phase type, exploiting a self-improving property of this variational capacity and a Maz'ya type inequality related to the double-phase integrand.

This talk is based on a joint work with Leah Schätzler and Fabian Bäuerlein.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Degenerate and Singular PDEs (Workshop)
Organizer(s):
Verena Bögelein (PLUS, Salzburg)
Ugo Gianazza (U of Pavia)
Juha Kinnunen (Aalto U)
Naian Liao (PLUS, Salzburg)