Estimates of Dirichlet eigenvalues of divergent elliptic operators in non-Lipschitz domains

Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov

Research output: Working paper/PreprintPreprint

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Abstract

We study spectral estimates of the divergence form uniform elliptic operators −div[A(z)∇f(z)] with the Dirichlet boundary condition in
bounded non-Lipschitz simply connected domains Ω ⊂ C. The suggested method is based on the quasiconformal composition operators on Sobolev spaces with applications to the weighted Poincaré-Sobolev inequalities.
Original languageEnglish GB
StatePublished - 15 Sep 2020

Keywords

  • math.AP
  • 35P15, 46E35, 30C65

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