Huang, Tingwei and Zhang, Shan (2021) Uniform Lipschitz Bound for a Competition Diffusion Advection System with Strong Competition. Applied Mathematics, 12 (05). pp. 383-398. ISSN 2152-7385
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Official URL: https://doi.org/10.4236/am.2021.125027
Abstract
We prove the uniform Lipschitz bound of solutions for a nonlinear elliptic system modeling the steady state of populations that compete in a heterogeneous environment. This extends known quasi-optimal regularity results and covers the optimal case for this problem. The proof relies upon the blow-up technique and the almost monotonicity formula by Caffarelli, Jerison and Kenig.
Item Type: | Article |
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Subjects: | European Repository > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 01 Dec 2022 05:05 |
Last Modified: | 25 May 2024 07:43 |
URI: | http://go7publish.com/id/eprint/597 |