کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4612252 | 1338671 | 2007 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classical and non-classical solutions of a prescribed curvature equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Classical and non-classical solutions of a prescribed curvature equation Classical and non-classical solutions of a prescribed curvature equation](/preview/png/4612252.png)
چکیده انگلیسی
We discuss existence and multiplicity of positive solutions of the one-dimensional prescribed curvature problem−(u′/1+u′2)′=λf(t,u),u(0)=0,u(1)=0, depending on the behaviour at the origin and at infinity of the potential ∫0uf(t,s)ds. Besides solutions in W2,1(0,1)W2,1(0,1), we also consider solutions in Wloc2,1(0,1) which are possibly discontinuous at the endpoints of [0,1][0,1]. Our approach is essentially variational and is based on a regularization of the action functional associated with the curvature problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 243, Issue 2, 15 December 2007, Pages 208–237
Journal: Journal of Differential Equations - Volume 243, Issue 2, 15 December 2007, Pages 208–237
نویسندگان
Denis Bonheure, Patrick Habets, Franco Obersnel, Pierpaolo Omari,