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.
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 language | English |
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State | Published - 15 Sep 2020 |
Keywords
- math.AP
- 35P15, 46E35, 30C65