@article{6efcbfd977f84de49e21d7568b2535cc,
title = "Spectral stability estimates of neumann divergence form elliptic operators",
abstract = "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, H{\"o}lder 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.",
keywords = "Elliptic equations, Quasiconformal mappings, Sobolev spaces",
author = "VLADIMIR GOL'DSHTEIN and VALERII PCHELINTSEV and ALEXANDER UKHLOV",
note = "Funding Information: Acknowledgments. The first author was supported by the United States-Israel Bina- Funding Information: tional Science Foundation (BSF Grant No. 2014055). The second author was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2020-1479/1) and RFBR Grant No. 18-31-00011. Publisher Copyright: {\textcopyright} 2021 Editura Academiei Romane. All rights reserved.",
year = "2021",
month = jan,
day = "1",
language = "English",
volume = "23",
pages = "131--147",
journal = "Mathematical Reports",
issn = "1582-3067",
publisher = "Editura Academiei Romane",
number = "1-2",
}