کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606271 1337694 2011 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniform decay estimates for finite-energy solutions of semi-linear elliptic inequalities and geometric applications
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Uniform decay estimates for finite-energy solutions of semi-linear elliptic inequalities and geometric applications
چکیده انگلیسی

We prove uniform decay estimates at infinity for solutions 0⩽u∈Lp0⩽u∈Lp of the semilinear elliptic inequality Δu+auσ+bu⩾0Δu+auσ+bu⩾0, a,b⩾0a,b⩾0, σ⩾1σ⩾1, in the presence of a Sobolev inequality (with potential term). This gives a unified point of view in the investigation of different geometric questions. In particular, we present applications to the study of the topology at infinity of parallel mean curvature submanifolds, to the non-compact Yamabe problem, and to estimate the decay rate of the traceless Ricci tensor of conformally flat manifolds.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 1, February 2011, Pages 35–54
نویسندگان
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