Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774459 | Journal of Mathematical Analysis and Applications | 2017 | 22 Pages |
Abstract
This paper focuses on an elliptic boundary blow up problem with sign-changing weightsâ³uϵ=(a+âϵaâ)g(uϵ),xâΩ,uϵ|âΩ=+â, where ΩâRn(nâ¥1) is a bounded smooth domain and ϵ>0 is a real parameter. We verify that there exists ϵâ>0 such that the problem has the minimal positive large solution for any ϵâ(0,ϵâ), while no positive large solutions for any ϵ>ϵâ. Then, by applying the local bifurcation theory, we analyze the structure of the branch produced by the positive large solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shijie Qi, Peihao Zhao,