کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899800 | 1631551 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A complete classification of bifurcation diagrams for a class of (p,q)-Laplace equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the bifurcation problem of positive solutions for the one-dimensional (p,q)-Laplace equation with nonlinear term urâ1. There are five types of order relations for (p,q,r). We investigate the exact shape of the bifurcation curve in each type of the order relation. We prove that there are two types of bifurcation curves that are increasing, two types that are decreasing, and one that is not monotone and turns exactly once. Moreover, we study the asymptotic profile of the normalized solution u(x)/âuââ as âuâââ0 or âuââââ, where âuââ denotes the Lâ-norm of u.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 2, 15 June 2018, Pages 1178-1194
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 2, 15 June 2018, Pages 1178-1194
نویسندگان
Ryuji Kajikiya, Inbo Sim, Satoshi Tanaka,