WIAS Preprint No. 811, (2003)

An existence result for the Leray-Lions type operators with discontinuous coefficients


  • Gwiazda, Piotr
  • Zatorska-Goldstein, Anna

2010 Mathematics Subject Classification

  • 35J65 49J45


  • nonlinear elliptic equations, discontinuous operator, compensated compactness, Young measures, set-valued analysis


In this paper we prove an existence result for Leray-Lions quasilinear elliptic operator with discontinuous coefficients. The idea of the proof is based on compactness results for the sequences of solutions to regularized problems obtained via the Compensated Compactness, Young measures, and Set-Valued Analysis tools.

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