Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900109 | Journal of Mathematical Analysis and Applications | 2018 | 21 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Cong Gu, Chun-Ming Yang, Tai-Chia Lin, Jean Yeh, Huixing Zhang,