کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590970 | 1334998 | 2012 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials](/preview/png/4590970.png)
چکیده انگلیسی
In this paper, we study the asymptotic estimates of the positive integrable solutions of an integral system involving the Wolff potentials in Rn{u(x)=R1(x)Wβ,γ(vq)(x),v(x)=R2(x)Wβ,γ(up)(x). Here 1<γ⩽2, β>0 and βγ1 satisfy the critical condition γâ1p+γâ1+γâ1q+γâ1=nâβγn, and R1(x), R2(x) are double bounded in Rn. For the radial solutions, the decay rates were established recently when |x|ââ. When the solutions have no radial structure, the asymptotic behavior is more complicated. We use an iteration technique to estimate the decay rates of the integrable solutions u and v as |x|ââ. Furthermore, as the corollaries of this result, we also obtain the asymptotic estimates of other Lane-Emden type PDE systems and integral systems, including the γ-Laplace system, the higher-order PDE system, and the integral system involving the Riesz potentials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 263, Issue 12, 15 December 2012, Pages 3857-3882
Journal: Journal of Functional Analysis - Volume 263, Issue 12, 15 December 2012, Pages 3857-3882
نویسندگان
Sha Sun, Yutian Lei,