کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611875 1338643 2012 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrability and asymptotics of positive solutions of a γ-Laplace system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Integrability and asymptotics of positive solutions of a γ-Laplace system
چکیده انگلیسی

In this paper, we use the potential analysis to study the properties of the positive solutions of a γ  -Laplace system in RnRn−div(|∇u|γ−2∇u)=upvq,−div(|∇v|γ−2∇v)=vpuq. Here 1<γ⩽21<γ⩽2, p,q>0p,q>0 satisfy the critical condition p+q=γ⁎−1p+q=γ⁎−1. First, the positive solutions u and v   satisfy an integral system involving the Wolff potentials. We then use the method of regularity lifting to obtain an optimal integrability for this Wolff type integral system. Different from the case of γ=2γ=2, it is more difficult to handle the asymptotics since u and v have not radial structures. We overcome this difficulty by a new method and obtain the decay rates of u and v   as |x|→∞|x|→∞. We believe that this new method is appropriate to deal with the asymptotics of other decaying solutions without the radial structures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 252, Issue 3, 1 February 2012, Pages 2739–2758
نویسندگان
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