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<p>In this paper, we study the existence of non-trivial multiple solutions for an elliptic system with strongly coupled critical terms and concave nonlinearities in bounded domains. Using the variational method, especially the Nehari manifold and Palais–Smale condition, we prove the existence and multiplicity results of positive solutions.</p>

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Existence and multiplicity of positive solutions for an elliptic system deriving from strongly coupled critical terms and concave nonlinearities

  • 期刊论文

  • 发表日期：

    2025年3月8日

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  • Rachid Echarghaoui,
  • Abdelouhab Hatimi,
  • Mohamed Hatimi

摘要

In this paper, we study the existence of non-trivial multiple solutions for an elliptic system with strongly coupled critical terms and concave nonlinearities in bounded domains. Using the variational method, especially the Nehari manifold and Palais–Smale condition, we prove the existence and multiplicity results of positive solutions.