کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615257 | 1339311 | 2015 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stable foliations with respect to the Fuglede p-modulus and level sets of q-harmonic functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the p-modulus of a foliation on a Riemannian manifold. We study the second variation of the p-modulus, and we derive a stability condition for this variation, which we formulate as a type of the Hardy inequality with the weight depending on the geometry of the foliation. In particular, we show that foliations defined by the distance function are p -stable for any p≥2p≥2. We examine the critical points of the p-modulus of the level sets of a smooth function. This leads, via a new approach, to generalizations of the well-known result that the q-capacity of a condenser is the reciprocal of the p-modulus of the family of all hyper-surfaces separating the plates of the condenser.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 427, Issue 1, 1 July 2015, Pages 440–459
Journal: Journal of Mathematical Analysis and Applications - Volume 427, Issue 1, 1 July 2015, Pages 440–459
نویسندگان
Małgorzata Ciska-Niedziałomska, Kamil Niedziałomski,