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A New Extension of Serrin's Lower Semicontinuity Theorem

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  • Xiaohong Hu
  • Shiqing Zhang

Abstract

We present a new extension of Serrin's lower semicontinuity theorem. We prove that the variational functional defined on is lower semicontinuous with respect to the strong convergence in , under the assumptions that the integrand has the locally absolute continuity about the variable .

Suggested Citation

  • Xiaohong Hu & Shiqing Zhang, 2013. "A New Extension of Serrin's Lower Semicontinuity Theorem," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, June.
    • Handle: RePEc:hin:jnlaaa:368610
    DOI: 10.1155/2013/368610
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