کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7222804 1470511 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global structure of supercritical bifurcation with turning points for the logistic elliptic equation with nonlinear boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global structure of supercritical bifurcation with turning points for the logistic elliptic equation with nonlinear boundary conditions
چکیده انگلیسی
In this paper, we give rather complete descriptions of the global bifurcation diagrams of positive solutions for the logistic elliptic equation with nonlinear boundary conditions in three cases of an included weight function. Besides the abstract theory of local and global bifurcation, careful observation of the reduced bifurcation equation in finite dimensional space and blow up arguments for the corresponding initial boundary value problem play an important role in characterizing the global behavior of the bifurcating positive solutions for values of a parameter. The critical case is dealt with by using a topological technique proposed by Whyburn.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 89, September 2013, Pages 250-266
نویسندگان
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