کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774395 | 1631561 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bi-Sobolev mappings and Kp-distortions in the plane
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we introduce the class of the inner p-quasiconformal mappings, that are homeomorphisms f:Dâ¶ontoD, fâWloc1,1(D;D), where DâR2 is the unit disk, such that there exists a constant Kpâ¥0 for which the following distortion inequality|Df(x)|pâ¤Kp|Jf(x)|pâ1a.e.xâDis satisfied. The study of such mappings is motivated by the fact that their inverses satisfy the distortion inequality introduced in [11]. Here we give a characterization of them so that their components solve a suitable uniformly elliptic p-harmonic system. Moreover, for mappings satisfying the previous distortion inequality with Kp=Kp,f(x) not necessarily constant, we identify the homeomorphism f whose p-distortion function Kp,f(x) is minimal in L1 norm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 2, 15 January 2018, Pages 1232-1246
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 2, 15 January 2018, Pages 1232-1246
نویسندگان
M. Carozza, F. Giannetti, A. Passarelli di Napoli, C. Sbordone, R. Schiattarella,