Logarithmic Asymptotics of a Class of Mappings
- 作者: Salimov R.R.1
-
隶属关系:
- Institute of Mathematics of the NAS of Ukraine
- 期: 卷 235, 编号 1 (2018)
- 页面: 52-62
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242050
- DOI: https://doi.org/10.1007/s10958-018-4058-8
- ID: 242050
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详细
The asymptotic behavior of lower Q-homeomorphisms relative to a p-modulus in ℝn, n ≥ 2, at a point is studied. A number of logarithmic estimates for the lower limits under various conditions imposed on the function Q are obtained. Some applications of these results to the Orlicz–Sobolev classes \( {W}_{\mathrm{loc}}^{1,\varphi } \) in ℝn, n ≥ 3 under the Calderon-type condition imposed on the function φ and, in particular, to the Sobolev classes \( {W}_{\mathrm{loc}}^{1,p} \) for p > n – 1 are given. The example of a homeomorphism with finite distortion which shows the exactness of the found order of growth is constructed.
作者简介
Ruslan Salimov
Institute of Mathematics of the NAS of Ukraine
编辑信件的主要联系方式.
Email: ruslan623@yandex.ru
乌克兰, Kiev
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