We study the regularity properties of solutions to the double obstacle problem in a metric space. Our main results are a global reverse Hoelder inequality, and stability of solutions. We assume the space supports a weak Poincaré inequality and a doubling measure. Furthermore we assume that the complement of the domain is uniformly thick in a capacitary sense
Stability of solutions of the double obstacle problem on metric spaces / Eleuteri, Michela; Farnana, Z; Kansanen, O. E; Korte, R.. - 18:(2010), pp. 145-160. (Intervento presentato al convegno ICM 2010 Satellite Conference International workshop on Harmonic and Quasiconformal Mappings (HQM2010) tenutosi a India nel 9-17 August 2010).
Stability of solutions of the double obstacle problem on metric spaces
ELEUTERI, Michela;
2010
Abstract
We study the regularity properties of solutions to the double obstacle problem in a metric space. Our main results are a global reverse Hoelder inequality, and stability of solutions. We assume the space supports a weak Poincaré inequality and a doubling measure. Furthermore we assume that the complement of the domain is uniformly thick in a capacitary sense
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