Article
Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains
Authors
Abstract
We extend Theorem 1.1 of [J. Math. Anal. Appl. 435 (2016), 1738-1752] to show the uniqueness of large solutions for the system of (1) in star-shaped domains. This result is due to the maximum principle for cooperative systems of [J. López-Gómez and M. Molina-Meyer, Diff. Int. Eq. 7 (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions.
Keywords
Large positive solution, Cooperative system, Logistic equation, Uniqueness, Keller-Osserman, 35J57, 35K57, 35B50, 35B51
Citation
Maire, L. (2017). Large solutions for cooperative logistic systems: Existence and uniqueness in star-shaped domains. Applied Mathematics and Nonlinear Sciences, 2(1), 249–258. https://doi.org/10.21042/AMNS.2017.1.00021
L. Maire, “Large solutions for cooperative logistic systems: Existence and uniqueness in star-shaped domains,” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 1, pp. 249–258, 2017, doi: 10.21042/AMNS.2017.1.00021.
Maire L. Large solutions for cooperative logistic systems: Existence and uniqueness in star-shaped domains. Applied Mathematics and Nonlinear Sciences. 2017;2(1):249–258. doi:10.21042/AMNS.2017.1.00021.
Maire, L. (2017), ‘Large solutions for cooperative logistic systems: Existence and uniqueness in star-shaped domains’, Applied Mathematics and Nonlinear Sciences, 2(1), pp. 249–258. Available at: https://doi.org/10.21042/AMNS.2017.1.00021.
Maire, Luis. “Large Solutions for Cooperative Logistic Systems: Existence and Uniqueness in Star-shaped Domains.” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 1, 2017, pp. 249–258. https://doi.org/10.21042/AMNS.2017.1.00021.
Maire, Luis. “Large Solutions for Cooperative Logistic Systems: Existence and Uniqueness in Star-shaped Domains.” Applied Mathematics and Nonlinear Sciences 2, no. 1 (2017): 249–258. https://doi.org/10.21042/AMNS.2017.1.00021.
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Published by: Engineering Journals
