Elliptic equations with BMO nonlinearity in Reifenberg domains

• Autores: Sun-Sig Byun, Lihe Wang
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 6, 2008, págs. 1937-1971
• Idioma: inglés
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• Resumen

  • Given p[2,+8), we obtain the global W1,p estimate for the weak solution of a boundary-value problem for an elliptic equation with BMO nonlinearity in a Reifenberg domain, assuming that the nonlinearity has sufficiently small BMO seminorm and that the boundary of the domain is sufficiently flat.