Abstract
We are concerned with extinction properties for a p-Laplacian equation with gradient source and absorption terms under nonlinear boundary condition. Based on the integral norm estimate method and the technique of differential inequalities, we establish some extinction results and the precise decay estimates of extinction solutions for this problem. Furthermore, we believe that the arguments used in this paper can also be applicable to the problem with nonlocal source instead of a gradient source.
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Acknowledgments
Xianghui Xu is supported by the Natural Science Foundation of Shandong Province of China (ZR2019BA032). 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).