Second order elliptic equations in ℝd with piecewise continuous coefficients

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11 Citations (Scopus)


The existence and uniqueness of solutions of second order elliptic differential equations in ℝd are proved. The coefficients of second order terms are allowed to have discontinuity at finitely many parallel hyper-planes in ℝd and the first derivatives of solutions can have jumps at the hyper-planes.

Original languageEnglish
Pages (from-to)189-212
Number of pages24
JournalPotential Analysis
Issue number2
Publication statusPublished - 2007 Mar
Externally publishedYes


  • Apriori estimate
  • Discontinuous coefficients
  • Elliptic equation
  • Multiplier

ASJC Scopus subject areas

  • Analysis


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