We study spectral stability estimates of elliptic operators in divergence form -div[A(w)rg(w)] with the Neumann boundary condition in domains Ω C which satisfy the quasihyperbolic boundary condition. This class of domains includes Lipschitz domains, Hölder singular domains and some fractal type domains like snowakes. The suggested method is based on connections of quasiconformal mappings and Sobolev spaces with applications to the Poincare type inequalities.
|Number of pages||17|
|State||Published - 1 Jan 2021|
- Elliptic equations
- Quasiconformal mappings
- Sobolev spaces