Regularity in Orlicz spaces for the Poisson equation

• Autores: Huilian Jia, Dongsheng Li, Lihe Wang
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 122, Nº. 3, 2007, págs. 265-275
• Idioma: inglés
• DOI: 10.1007/s00229-006-0066-y
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• Resumen

  • In this paper, we establish a regularity theory in the Orlicz space for the Poisson equation -?u = f, where f lies in the Orlicz space with satisfying ?2 and ?2 conditions. The proof is based on standard W 2, p estimates and Hardy¿Littlewood maximal functions.