@article{58ca9591586f483c9b1ac0108ba66d34,
title = "Space quasiconformal mappings and Neumann eigenvalues in fractal type domains",
abstract = "We study the variation of Neumann eigenvalues of the p-Laplace operator under quasiconformal perturbations of space domains. This study allows us to obtain the lower estimates of Neumann eigenvalues in fractal type domains. The proposed approach is based on the geometric theory of composition operators in connection with the quasiconformal mapping theory.",
keywords = "Neumann eigenvalues, Sobolev spaces, quasiconformal mappings",
author = "Vladimir Gol'Dshtein and Ritva Hurri-Syrj{\"a}nen and Alexander Ukhlov",
note = "Funding Information: Funding: R. Hurri-Syrj{\"a}nen, whose research was supported in part by a grant from the Finnish Academy of Science and Letters, Vilho, Yrj{\"o} and Kalle V{\"a}is{\"a}l{\"a} Foundation, is grateful for the hospitality given by the Department of Mathematics of the Ben-Gurion University of the Negev. V. Gol{\textquoteright}dshtein{\textquoteright}s research was supported by the United States-Israel Binational Science Foundation (BSF Grant No. 2014055). Publisher Copyright: {\textcopyright} 2018 Walter de Gruyter GmbH, Berlin/Boston 2018.",
year = "2018",
month = jun,
day = "1",
doi = "10.1515/gmj-2018-0025",
language = "English",
volume = "25",
pages = "221--233",
journal = "Georgian Mathematical Journal",
issn = "1572-9176",
publisher = "De Gruyter Open Ltd.",
number = "2",
}