We study existence of positive weak solutions for stationary systems weakly related to the logarithmic Keller–Segel model for chemotaxis. The simplest case is the Dirichlet problem for (Formula presented). We prove existence results under conditions on A > 0 and λ > 0; for instance, we prove existence of finite energy solutions u if 0 < A <1/2.
EXISTENCE OF WEAK SOLUTIONS FOR SOME ELLIPTIC SYSTEMS / Boccardo, L.; Orsina, L.. - In: PURE AND APPLIED ANALYSIS. - ISSN 2578-5893. - 4:3(2022), pp. 517-534. [10.2140/paa.2022.4.517]
EXISTENCE OF WEAK SOLUTIONS FOR SOME ELLIPTIC SYSTEMS
Boccardo L.;Orsina L.
2022
Abstract
We study existence of positive weak solutions for stationary systems weakly related to the logarithmic Keller–Segel model for chemotaxis. The simplest case is the Dirichlet problem for (Formula presented). We prove existence results under conditions on A > 0 and λ > 0; for instance, we prove existence of finite energy solutions u if 0 < A <1/2.File allegati a questo prodotto
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