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001 | 663920 | ||
005 | 20231030041912.0 | ||
035 | _a(RuTPU)RU\TPU\network\35090 | ||
035 | _aRU\TPU\network\28215 | ||
090 | _a663920 | ||
100 | _a20210317a2020 k y0engy50 ba | ||
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 |
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203 |
_aText _celectronic |
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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 |
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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 |
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701 | 1 |
_aHurri-Syrjanen _bR. _gRitva |
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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 |
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701 | 1 |
_aUkhlov _bA. D. _gAlexander Dadar-oolovich |
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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 |
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856 | 4 | _uhttps://doi.org/10.1007/s13324-020-00420-0 | |
942 | _cCF |