Arumugam, GurusamyGurusamyArumugamTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312020-07-1510.1002/mma.64012-s2.0-85083372800https://d8.irins.org/handle/IITG2025/24087We establish the existence of nonnegative weak solutions to nonlinear reaction–diffusion system with cross-diffusion and nonstandard growth conditions subject to the homogeneous Neumann boundary conditions. We assume that the diffusion operators satisfy certain monotonicity condition and nonstandard growth conditions and prove that the existence of weak solutions using Galerkin's approximation technique.falseGalerkin's approximation | second-order parabolic systems | variable exponents | weak solutionsArticle109914766576-659715 July 20204arJournal4WOS:000525833400001