کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636713 | 1340727 | 2006 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary blow-up solutions for a class of elliptic equations on a bounded domain
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Boundary blow-up solutions for a class of elliptic equations on a bounded domain Boundary blow-up solutions for a class of elliptic equations on a bounded domain](/preview/png/4636713.png)
چکیده انگلیسی
This paper deals with existence of solutions of the quasilinear elliptic equation Îu = f(x, u, âu) in Ω satisfying the boundary blow-up condition u(x)âxââΩâ, where Ω â RN is a bounded domain with smooth boundary âΩ. Our main result applies to the existence of blow-up solutions of a class of equations which appear in Stochastic Control Theory, namely Îu = a(x)g(u) + λâ£âuâ£Ï + Ψ(x) in Ω, where a(x), g(u), Ψ(x) are suitable functions and λ, Ï are nonnegative constants. Our approach employs an approximation procedure combined with both a non-monotone iteration variant of the method of lower and upper solutions and fixed point arguments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 182, Issue 1, 1 November 2006, Pages 13-23
Journal: Applied Mathematics and Computation - Volume 182, Issue 1, 1 November 2006, Pages 13-23
نویسندگان
J.V. Goncalves, Angelo Roncalli,