کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839715 | 1470487 | 2015 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Direction and stability of bifurcating solutions for a Signorini problem
ترجمه فارسی عنوان
جهت و ثبات راه حل های دوخت برای یک مشکل اسنیورینی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
چکیده انگلیسی
The equation Îu+λu+g(λ,u)u=0 is considered in a bounded domain in R2 with a Signorini condition on a straight part of the boundary and with mixed boundary conditions on the rest of the boundary. It is assumed that g(λ,0)=0 for λâR, λ is a bifurcation parameter. A given eigenvalue of the linearized equation with the same boundary conditions is considered. A smooth local bifurcation branch of non-trivial solutions emanating at λ0 from trivial solutions is studied. We show that to know a direction of the bifurcating branch it is sufficient to determine the sign of a simple expression involving the corresponding eigenfunction u0. In the case when λ0 is the first eigenvalue and the branch goes to the right, we show that the bifurcating solutions are asymptotically stable in W1,2-norm. The stability of the trivial solution is also studied and an exchange of stability is obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 113, January 2015, Pages 357-371
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 113, January 2015, Pages 357-371
نویسندگان
Jan Eisner, Milan KuÄera, Lutz Recke,