Global Weak Solution in a p-Laplacian Attraction–Repulsion Chemotaxis System with Nonlinear Sensitivity and Signal Production

Key Points

• Global existence of weak solutions is achieved, indicating stable conditions for the modeled chemotaxis system.
• Weak solutions are shown to be bounded, confirming their applicability for realistic scenarios in chemotaxis behavior.
• The approach employs energy estimates and regularity analysis, providing a robust method for solution verification.
• Implications of findings suggest that this framework could help in understanding cellular movements in complex environments.