کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610489 1338567 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Shooting with degree theory: Analysis of some weighted poly-harmonic systems
ترجمه فارسی عنوان
تیراندازی با نظریه درجه: تجزیه و تحلیل برخی از سیستم های چند هارمونیک وزن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy-Littlewood-Sobolev type. The novel method used implements the classical shooting method enhanced by topological degree theory. The key steps of the method are to first construct a target map which aims the shooting method and the non-degeneracy conditions guarantee the continuity of this map. With the continuity of the target map, a topological argument is used to show the existence of zeros of the target map. The existence of zeros of the map along with a non-existence theorem for the corresponding Navier boundary value problem imply the existence of positive solutions for the class of poly-harmonic systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 4, 15 August 2014, Pages 1148-1167
نویسندگان
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