کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4604332 1337434 2013 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lane–Emden problems: Asymptotic behavior of low energy nodal solutions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Lane–Emden problems: Asymptotic behavior of low energy nodal solutions
چکیده انگلیسی

We study the nodal solutions of the Lane–Emden–Dirichlet problem{−Δu=|u|p−1u,in Ω,u=0,on ∂Ω, where Ω   is a smooth bounded domain in R2R2 and p>1p>1. We consider solutions upup satisfyingp∫Ω|∇up|2→16πeas p→+∞ and we are interested in the shape and the asymptotic behavior as p→+∞p→+∞.First we prove that (⁎) holds for least energy nodal solutions. Then we obtain some estimates and the asymptotic profile of this kind of solutions. Finally, in some cases, we prove that puppup can be characterized as the difference of two Greenʼs functions and the nodal line intersects the boundary of Ω, for large p.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 30, Issue 1, January–February 2013, Pages 121–140
نویسندگان
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