<p>We investigate a class of anisotropic Kirchhoff-type systems with variable exponent growth under Neumann boundary conditions. The system exhibits both interior and boundary critical nonlinearities. We establish existence and multiplicity of weak solutions by employing variational methods combined with a new anisotropic concentration-compactness principle adapted to the anisotropic variable exponent setting.</p>

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Existence and multiplicity of solutions for anisotropic Kirchhoff-type systems with double critical growth

  • Mohamed Atmani,
  • Nabil Chems Eddine,
  • Zine El Abidine Guennoun

摘要

We investigate a class of anisotropic Kirchhoff-type systems with variable exponent growth under Neumann boundary conditions. The system exhibits both interior and boundary critical nonlinearities. We establish existence and multiplicity of weak solutions by employing variational methods combined with a new anisotropic concentration-compactness principle adapted to the anisotropic variable exponent setting.