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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…
math.AP2023
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…