Abstract
In the article, we prove weighted Sobolev inequalities with weights which are Jacobians of mappings inverse to weak quasiconformal mappings. On this base, we obtain estimates of the first non-trivial eigenvalue of the two-dimensional Neumann-Laplacian in Hölder singular domains.
| Original language | American English |
|---|---|
| Pages (from-to) | 541-553 |
| Number of pages | 13 |
| Journal | Pure and applied functional analysis |
| Volume | 9 |
| Issue number | 2 |
| State | Published - 1 Jan 2024 |
Keywords
- Quasiconformal mappings
- Sobolev inequalities
- Sobolev spaces
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
- Control and Optimization