کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899123 | 1631509 | 2018 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Large solutions to the Monge-Ampère equations with nonlinear gradient terms: Existence and boundary behavior
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Large solutions to the Monge-Ampère equations with nonlinear gradient terms: Existence and boundary behavior Large solutions to the Monge-Ampère equations with nonlinear gradient terms: Existence and boundary behavior](/preview/png/8899123.png)
چکیده انگلیسی
In this paper, we obtain conditions about the existence and boundary behavior of (strictly) convex solutions to the Monge-Ampère equations with boundary blow-updetâ¡D2u(x)=b(x)f(u(x))±|âu|q,xâΩ,u|âΩ=+â, anddetâ¡D2u(x)=b(x)f(u(x))(1+|âu|q),xâΩ,u|âΩ=+â, where Ω is a strictly convex, bounded smooth domain in RN with Nâ¥2, qâ[0,N] (or qâ[0,N)), bâCâ(Ω) which is positive in Ω, but may vanish or blow up on the boundary, fâC[0,â), f(0)=0, and f is strictly increasing on [0,â) (or fâC(R), f(s)>0,âsâR, and f is strictly increasing on R).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 1, 5 January 2018, Pages 263-296
Journal: Journal of Differential Equations - Volume 264, Issue 1, 5 January 2018, Pages 263-296
نویسندگان
Zhijun Zhang,