13 citations · 27 across the 13 of their papers we have counts for
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Anisotropic Hardy type inequalities with weights and conformable fractional differential operators
Abimbola Abolarinwa, Yisa O Anthony
By a systematic development of fundamental concepts of conformable calculus we establish conformable divergence theorem and Green's identities which we combine with some new anisot…
Generalized parabolic frequency on compact manifolds
Abimbola Abolarinwa, Shahroud Azami
In this paper, we first prove monotonicity of a generalized para bolic frequency on weighted closed Riemannian manifolds for some linear heat equation. Secondly, a certain generali…
Parabolic frequency monotonicity on the conformal Ricci flow
Abimbola Abolarinwa, Shahroud Azami
This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scal…
Some gradient estimates for nonlinear heat-type equations on smooth metric measure spaces with compact boundary
Abimbola Abolarinwa
In this paper we prove some Hamilton type and Li-Yau type gradient estimates on positive solutions to generalized nonlinear parabolic equations on smooth metric measure space with…
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…
Generalised Hardy type and Rellich type inequalities on the Heisenberg group
Abimbola Abolarinwa, Michael Ruzhansky
This paper is primarily devoted to a class of interpolation inequalities of Hardy and Rellich types on the Heisenberg group . Consequently, several weighted Hardy typ…
Nonlinear variable exponent Picone identity and -sub-Laplacian first eigenvalue for general vector fields
Abimbola Abolarinwa
In this paper, we establish a new generalized nonlinear variable exponent Picone identities for -sub-Laplacian. As applications we prove uniqueness, simplicity, momotonicity…