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101 0 _aeng
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aSpace quasiconformal composition operators with applications to Neumann eigenvalues
_fV. M. Goldshtein, R. Hurri-Syrjanen, V. A. Pchelintsev, A. D. Ukhlov
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 37 tit.]
330 _aIn this article we obtain estimates of Neumann eigenvalues of p-Laplace operators in a large class of space domains satisfying quasihyperbolic boundary conditions. The suggested method is based on composition operators generated by quasiconformal mappings and their applications to Sobolev–Poincarй-inequalities. By using a sharp version of the reverse Hцlder inequality we refine our estimates for quasi-balls, that is, images of balls under quasiconformal mappings of the whole space.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tAnalysis and Mathematical Physics
463 _tVol. 10, iss. 4
_v[78, 20 p.]
_d2020
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _aelliptic equations
610 1 _aSobolev spaces
610 1 _aэллиптические уравнения
610 1 _aпространство Соболева
610 1 _aквазиконформные отображения
610 1 _aquasiconformal mappings
701 1 _aGoldshtein
_bV. M.
_gVladimir Mikhaylovich
701 1 _aHurri-Syrjanen
_bR.
_gRitva
701 1 _aPchelintsev
_bV. A.
_cmathematician
_cSenior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences
_f1988-
_gValery Anatoljevich
_2stltpush
_3(RuTPU)RU\TPU\pers\35715
701 1 _aUkhlov
_bA. D.
_gAlexander Dadar-oolovich
712 0 2 _aНациональный исследовательский Томский политехнический университет
_bШкола базовой инженерной подготовки
_bОтделение математики и информатики
_h8031
_2stltpush
_3(RuTPU)RU\TPU\col\23555
801 2 _aRU
_b63413507
_c20210317
_gRCR
856 4 _uhttps://doi.org/10.1007/s13324-020-00420-0
942 _cCF