Rui Huang, Shanming Ji, Yansheng Ma
Abstract:
This article concerns the blow-up phenomenon of sign-changing solutions
to the Lane-Emden heat flow. We construct sign-changing weak sub-solutions
and localization of the positive and negative parts of the sign-changing solutions.
We also extend the results to a nonlinear and finite diffusion equations.
Submitted August 22, 2024. Published October 29, 2024.
Math Subject Classifications: 35K57, 35B40, 35B44, 35K20.
Key Words: Lane-Emden heat flow; sign-changing solution; blow-up
DOI: 10.58997/ejde.2024.66
Show me the PDF file (331 KB), TEX file for this article.
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Rui Huang School of Mathematical Sciences South China Normal University Guangzhou, 510631, China email: huangrui@m.scnu.edu.cn |
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Shanming Ji School of Mathematics South China University of Technology Guangzhou, 510641, China email: jism@scut.edu.cn |
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\address{Yansheng Ma School of Mathematics and Statistics Northeast Normal University Changchun, 130024, China email: mays538@nenu.edu.cn |
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