Critical curves for a fast diffusive p-Laplacian equation with nonlocal source

ABSTRACT

This paper deals with the critical curves for a fast diffusive p-Laplacian equation with nonlocal inner source under nonlinear boundary flux in half-line. We obtain new critical global existence curve and critical Fujita curve by constructing various self-similar super- and sub-solutions.

Keywords:

• Fast diffusive p-Laplacian equation
• nonlocal inner source
• nonlinear boundary flux
• critical curves

2010 MSC:

• 35K67
• 35B33
• 35B40

Acknowledgments

This work is supported by the Natural Science Foundation of Shandong Province of China (No.ZR2019MA072) and the Fundamental Research Funds for the Central Universities (No.201964008). The authors would like to deeply thank all the reviewers for their insightful and constructive comments.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the The Natural Science Foundation of Shandong Province of China [No. ZR2019MA072] and the Fundamental Research Funds for the Central Universities [No. 201964008]. The Fundamental Research Funds for the Central Universities