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<p>In this paper we consider a mixed Dirichlet-Neumann boundary value problem involving Choquard nonlinearity with upper critical exponent in the sense of Hardy-Littlewood-Sobolev inequality. We investigate the effect of the geometry of the boundary part where the Neumann condition is prescribed on the existence problem of ground state solutions.</p>

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The Effect of Boundary Geometry in Nonlocal Critical Problems with Hardy-Littlewood-Sobolev Exponent

  • 期刊论文

  • 发表日期：

    2026年6月17日

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  • Hichem Chtioui,
  • Tuhina Mukherjee,
  • Lovelesh Sharma

摘要

In this paper we consider a mixed Dirichlet-Neumann boundary value problem involving Choquard nonlinearity with upper critical exponent in the sense of Hardy-Littlewood-Sobolev inequality. We investigate the effect of the geometry of the boundary part where the Neumann condition is prescribed on the existence problem of ground state solutions.