کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893119 1044067 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a generalized 1-harmonic equation and the inverse mean curvature flow
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On a generalized 1-harmonic equation and the inverse mean curvature flow
چکیده انگلیسی

We introduce and study generalized 1-harmonic equations (1.1). Using some ideas and techniques in studying 1-harmonic functions from Wei (2007) [1], and in studying nonhomogeneous 1-harmonic functions on a cocompact set from Wei (2008) [2, (9.1)], we find an analytic   quantity ww in the generalized 1-harmonic equations (1.1) on a domain in a Riemannian nn-manifold that affects the behavior of weak solutions of (1.1), and establish its link with the geometry   of the domain. We obtain, as applications, some gradient bounds and nonexistence results for the inverse mean curvature flow, Liouville theorems for pp-subharmonic functions of constant pp-tension field, p≥np≥n, and nonexistence results for solutions of the initial value problem of inverse mean curvature flow.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 2, February 2011, Pages 453–461
نویسندگان
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