13 citations · 27 across the 13 of their papers we have counts for
14 papers
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…
Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds
Yanlin Li, Abimbola Abolarinwa, Suraj Ghosh +1
In this article we derive gradient estimation for positive solution of the equation \begin{equation*} (\partial_t-Δ_f)u = A(u)p(x,t) + B(u)q(x,t) + \mathcal{G}(u) \end{equation*} o…
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…
Basic structural equations for almost Ricci-harmonic solitons and applications
Abimbola Abolarinwa
This paper studies gradient almost Ricci-harmonic soliton with respect to a fixed metric. We rely on analytic techniques to estabilish some basic elliptic and integral equations fo…
Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation
Abimbola Abolarinwa
Let be a complete smooth metric measure space with -Bakry-Émery Ricci tensor bounded from below. We derive elliptic gradient estimates for positive sol…
The first eigenvalue of the -Laplacian on time dependent Riemannian metrics
Abimbola Abolarinwa, Jing Mao
Let be an -dimensional compact Riemannian manifold () whose metric evolves by the generalized abstract geometric flow. This paper discusses the evolution, mo…
Eigenvalues of Weighted-Laplacian under the extended Ricci flow
Abimbola Abolarinwa
Let be a symmetric diffusion operator with an invariant weighted volume measure on an -dimensional compact Riemannian manifold , w…
Gradient estimates for a nonlinear parabolic equation with potential under geometric flow
Abimbola Abolarinwa
Let be an dimensional complete Riemannian manifold. In this paper we prove local Li-Yau type gradient estimates for all positive solutions to the following nonlinear parab…
Differential Harnack estimates for conjugate heat equation under the Ricci flow
Abimbola Abolarinwa
We prove certain localized and global differential Harnack inequality for all positive solutions to the geometric conjugate heat equation coupled to the forward in time Ricci flow.…