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We 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… Click to show full abstract
We 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.
Keywords:
nonstandard growth;
diffusion;
diffusion system;
growth conditions;
reaction diffusion
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!