کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610035 1338541 2015 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Qualitative properties of solutions for an integral system related to the Hardy–Sobolev inequality
ترجمه فارسی عنوان
خواص کیفی راه حل ها برای سیستم یکپارچه مربوط به نابرابری هاردیای سوبلو
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This article carries out a qualitative analysis on a system of integral equations of the Hardy–Sobolev type. Namely, results concerning Liouville type properties and the fast and slow decay rates of positive solutions for the system are established. For a bounded and decaying positive solution, it is shown that it either decays with the slow rates or the fast rates depending on its integrability. Particularly, a criterion for distinguishing integrable solutions from other bounded and decaying solutions in terms of their asymptotic behavior is provided. Moreover, related results on the optimal integrability, boundedness, radial symmetry and monotonicity of positive integrable solutions are also established. As a result of the equivalence between the integral system and a system of poly-harmonic equations under appropriate conditions, the results translate over to the corresponding poly-harmonic system. Hence, several classical results on semilinear elliptic systems are recovered and further generalized.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 5, 5 March 2015, Pages 1685–1714
نویسندگان
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