Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces

• Autores: Outi Elina Maasalo, Anna Zatorska-Goldstein
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 77, Nº 3, 2008, págs. 771-788
• Idioma: inglés
• DOI: 10.1112/jlms/jdn019
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove a stability result, with respect to the varying exponent p, for a family of quasiminimizers of the p-Dirichlet energy functional on a doubling metric measure space. In addition, we prove global higher integrability for upper gradients of quasiminimizers with fixed boundary data, provided that the boundary data belong to a slightly better Newtonian space.