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math.DG2022
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…
math.DG2022
Harnack inequality for nonlinear parabolic equations under integral Ricci curvature bounds
Shahroud Azami
Let be a complete Riemannian manifold. In this paper, we establish a space-time gradient estimates for positive solutions of nonlinear parabolic equations $$\partial_{t…
math.DG2022
Bounds to the first eigenvalues of weighted p-Steklov and (p,q)-Laplacian Steklov problems
Shahroud Azami
We consider the Steklov problem associated with the weighted p-Laplace operator and -Laplacian on submanifolds with the boundary of Euclidean spaces and prove Reilly-type up…