Arumugam, GurusamyGurusamyArumugamErhardt, André H.André H.ErhardtEswaramoorthy, IndurekhaIndurekhaEswaramoorthyKrishnan, BalachandranBalachandranKrishnan2025-08-312025-08-312020-08-0110.1016/j.nonrwa.2020.1030902-s2.0-85077501765https://d8.irins.org/handle/IITG2025/24073In this paper, we consider the Keller–Segel chemotaxis system with additional cross-diffusion term in the second equation. This system is consisting of a fully nonlinear reaction–diffusion equations with additional cross-diffusion. We establish the existence of weak solutions to the considered system by using Schauder's fixed point theorem, a priori energy estimates and the compactness results.trueFixed point theorem | Keller–Segel system | Weak solutionsArticlehttps://www.sciencedirect.com/science/article/pii/S1468121820300080?via%3DihubAugust 202010103090arJournal10