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

H. Ren; Zhe Jia

doi:10.3390/axioms14080642

August 18, 2025AxiomsOpen Access

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

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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.

Implication

Analysis finds global weak solutions for a p-laplacian chemotaxis system, suggesting stability in modeling cell movement.

Abstract

This paper is devoted to a p-Laplacian attraction–repulsion chemotaxis system with nonlinear sensitivity and signal production. We obtain the global existence and boundedness of weak solutions by means of energy estimates, the Aubin–Lions lemma, and parabolic and elliptic regularity estimates.

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Cite This Study

Ren et al. (2025) studied this question.

synapsesocial.com/papers/68a6fb9b5502675167ba94d3 https://doi.org/10.3390/axioms14080642

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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