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›› 2013, Vol. 30 ›› Issue (3): 293-297.DOI: 10.7523/j.issn.1002-1175.2013.03.002

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Higher integrability result for solutions to nondivergence elliptic equations with low-order terms

BAI Jin-Yan, CUI Xue-Wei   

  1. Department of Applied Mathematics, Key Laboratory of Space Physics and Chemistry, Ministry of Education, Northwestern Polytechnical University, Xi'an, Shaanxi 710129, China
  • Received:2012-01-09 Revised:2012-05-07 Online:2013-05-15

Abstract:

We establish a higher integrability for second derivatives of solutions to the nondivergence elliptic equations of the following type ,

where the coefficients aij(x) are bounded and have small BMO-norm, and bi(x) and c(x) belong to Ln(Ω) where Ω is a bounded smooth domain in Rn(n≥3).

Key words: nondivergence elliptic equation, small BMO-norm, higher integrability

CLC Number: