کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900109 | 1631556 | 2018 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Positive solutions for the Kirchhoff-type problem involving general critical growth - Part II: 3D numerical solutions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Positive solutions for the Kirchhoff-type problem involving general critical growth - Part II: 3D numerical solutions Positive solutions for the Kirchhoff-type problem involving general critical growth - Part II: 3D numerical solutions](/preview/png/8900109.png)
چکیده انگلیسی
In this paper, we continue the study of the following Kirchhoff-type problem{(a+λâ«R3|âu|2dx+λbâ«R3|u|2dx)(âÎu+bu)=f(u),inR3,uâH1(R3),u>0,inR3, where λâ¥0 is a parameter, a, b are positive constants and f reaches the critical growth. We use a scaling iterative algorithm to find numerical solutions to the problem on a large enough bounded domain with several particular nonlinearities f, including those with critical growth. We also study the behavior of the solutions as λ decreases to 0 in consonance with the theoretical study in Part I.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 17-32
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 17-32
نویسندگان
Cong Gu, Chun-Ming Yang, Tai-Chia Lin, Jean Yeh, Huixing Zhang,