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math.OC2026
Optimization-based lane-changing trajectory planning in mixed traffic with embedded input convex neural networks
Yuanxiang Yang, Yu Liu, Fabricio Oliveira +2
Lane-changing (LC) maneuvers are highly challenging vehicle interactions, with substantial implications for traffic safety and efficiency. Developing effective LC strategies for co…
math.AP2026
On the existence of nonconstant solutions of system of Lane-Emden equations on spaces
Sujit Bhattacharyya
In this article, we establish elliptic gradient estimates for positive solutions of the Lane-Emden system on metric measure spaces satisfying the synthetic Ricci curvature-dimensio…
math.AP2026
Bernstein type gradient estimate for system of weighted local heat equations with potential term
Sujit Bhattacharyya
In this article we provide Bernstein type gradient estimates for two system of local weighted heat type equations with potentials on a weighted Riemannian manifold. We derive all p…