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<p>In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions. By means of variational methods and an orthogonalization-like process in the corresponding Sobolev space, we establish the existence of at least one weak solution.</p>

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Fractional critical systems with mixed boundary conditions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月20日

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  • Rohit Kumar,
  • Alejandro Ortega

摘要

In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions. By means of variational methods and an orthogonalization-like process in the corresponding Sobolev space, we establish the existence of at least one weak solution.