کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609703 | 1338524 | 2016 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
W4,pW4,p solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: W4,pW4,p solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations W4,pW4,p solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations](/preview/png/4609703.png)
چکیده انگلیسی
The second boundary value problem of the prescribed affine mean curvature equation is a nonlinear, fourth order, geometric partial differential equation. It was introduced by Trudinger and Wang in 2005 in their investigation of the affine Plateau problem in affine geometry. The previous works of Trudinger–Wang, Chau–Weinkove and the author solved this global problem in W4,pW4,p under some restrictions on the sign or integrability of the affine mean curvature. We remove these restrictions in this paper and obtain W4,pW4,p solution to the second boundary value problem when the affine mean curvature belongs to LpLp with p greater than the dimension. Our self-contained analysis also covers the case of Abreu's equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 5, 5 March 2016, Pages 4285–4300
Journal: Journal of Differential Equations - Volume 260, Issue 5, 5 March 2016, Pages 4285–4300
نویسندگان
Nam Q. Le,