Abstract
We study spectral properties of divergence form elliptic operators (Formula presented.) with the Neumann boundary condition in planar domains (including some fractal type domains) that satisfy to the quasihyperbolic boundary conditions. Our method is based on an interplay between quasiconformal mappings, elliptic operators and composition operators on Sobolev spaces.
Original language | English |
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Pages (from-to) | 2281-2302 |
Number of pages | 22 |
Journal | Complex Variables and Elliptic Equations |
Volume | 67 |
Issue number | 9 |
DOIs | |
State | Published - 1 Jan 2022 |
Keywords
- 30C62
- 35J15
- 46E35
- Elliptic equations
- Sobolev spaces
- quasiconformal mappings
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics