A note on global integrability of upper gradients of p-superharmonic functions

• Autorzy: Outi Elina Maasalo , Anna Zatorska-Goldstein
• Języki publikacji: EN

Abstrakty

EN

We consider a complete metric space equipped with a doubling measure and a weak Poincaré inequality. We prove that for all p-superharmonic functions there exists an upper gradient that is integrable on H-chain sets with a positive exponent.

Kategorie tematyczne

• 49N60: Regularity of solutions
• 31C45: Other generalizations (nonlinear potential theory, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 117
• Numer: 2
• Strony: 281-288

Daty

wydano

2009

Twórcy

autor

Outi Elina Maasalo

• Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FI-02015 TKK, Finland

autor

Anna Zatorska-Goldstein

• Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, PL-02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm117-2-10