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This paper proves the existence of weak solutions to an obstacle problem for a coupled parabolic–elliptic system with periodic data in Orlicz–Sobolev spaces, using N-functions and maximal monotone operator theory, combined with Lions’ and Schauder’s fixed point theorems.

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Periodic Solution of Parabolic–Elliptic System with Obstacle in Orlicz Spaces

  • 会议论文

  • 发表日期：

    2026年

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  • Y. Ahakkoud,
  • J. Bennouna,
  • M. Elmassoudi

摘要

This paper proves the existence of weak solutions to an obstacle problem for a coupled parabolic–elliptic system with periodic data in Orlicz–Sobolev spaces, using N-functions and maximal monotone operator theory, combined with Lions’ and Schauder’s fixed point theorems.