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<p>In this paper, we introduce and examine a new generalized and nonlinear obstacle problem. We employ the theory of Young measures, along with the theorem of Kinderlehrer and Stampacchia, and weak monotonicity conditions to establish both the existence and uniqueness of a weak solution to the obstacle problem under consideration.</p>

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Nonlinear Obstacle Problems: Existence and Uniqueness of Weak Solution via Young Measure Theory

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Mouad Allalou,
  • Noureddine Moujane,
  • Mohamed El Ouaarabi,
  • Abderrahmane Raji

摘要

In this paper, we introduce and examine a new generalized and nonlinear obstacle problem. We employ the theory of Young measures, along with the theorem of Kinderlehrer and Stampacchia, and weak monotonicity conditions to establish both the existence and uniqueness of a weak solution to the obstacle problem under consideration.