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<p>This paper deals with the existence of positive weak solutions for a class of fractional Laplacian systems with sign-changing weight functions satisfying the homogeneous Dirichlet condition on the exterior of a bounded domain. In particular, we employ the comparison principle and the sub and supersolutions method to prove sufficient conditions for the existence of positive solutions. Our results extend and complement previously known results in the literature.</p>

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Existence of positive weak solutions for a class of fractional Laplacian systems with sign-changing weight functions

  • 期刊论文

  • 发表日期：

    2025年2月16日

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  • Rafik Guefaifia,
  • S. H. Rasouli

摘要

This paper deals with the existence of positive weak solutions for a class of fractional Laplacian systems with sign-changing weight functions satisfying the homogeneous Dirichlet condition on the exterior of a bounded domain. In particular, we employ the comparison principle and the sub and supersolutions method to prove sufficient conditions for the existence of positive solutions. Our results extend and complement previously known results in the literature.