5 papers
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…
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…
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…
Li-Yau, Hamilton gradient and Hessian estimates for nonlinear weighted parabolic equations and applications
Shyamal Kumar Hui, Abimbola Abolarinwa, Sujit Bhattacharyya
This article is devoted to the study of several estimations for a positive solution to a nonlinear weighted parabolic equation on a weighted Riemannian manifold. We therefore deriv…
Hamilton and Souplet-Zhang type estimations on semilinear parabolic system along geometric flow
Shyamal Kumar Hui, Shahroud Azami, Sujit Bhattacharyya
In this article we derive both Hamilton type and Souplet-Zhang type gradient estimations for a system of semilinear equations along a geometric flow on a weighted Riemannian manifo…