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<p>We consider a class of critical nonlinear Laplace equations which are perturbations of the Yamabe problem on bounded domains with mixed Dirichlet–Neumann boundary conditions. We study the lack of compactness of the associated variational problems and we prove existence of solutions.</p>

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On a perturbed Yamabe problem with mixed boundary conditions

  • 期刊论文

  • 发表日期：

    2025年4月20日

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  • Azeb Alghanemi,
  • Randa Ben Mahmoud,
  • Hichem Chtioui

摘要

We consider a class of critical nonlinear Laplace equations which are perturbations of the Yamabe problem on bounded domains with mixed Dirichlet–Neumann boundary conditions. We study the lack of compactness of the associated variational problems and we prove existence of solutions.