33 citations · 69 across the 21 of their papers we have counts for
14 papers · 1 filter
Explicit sharp gradient stability of the -Poincaré inequality and fundamental gaps for the Dirichlet -Laplacian operator
Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we establish sharp gradient stability of the -Poincaré inequality with explicit constants on bounded convex domains for any . These estimates cont…
Sharp remainder formulae for general weighted Hardy and Rellich type inequalities for
Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev
Inspired by the work of Cossetti and D'Arca [CD25], we show that the general weighted -Hardy type inequalities [CD25, Theorems 1.1 and 1.2] and the corresponding identities…
Stability of the -Poincaré inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps
Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we obtain stability results for the -Poincaré inequality for both Lebesgue measure and Gaussian probability measure (Theorem 3.3 and Theorem 3.13) that involv…
Sharp remainder terms and stability of weighted Hardy-Poincaré and Heisenberg-Pauli-Weyl inequalities related to the Baouendi-Grushin operator
Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we obtain sharp remainder terms for the Hardy-Poincaré inequalities with general non-radial weights in the setting of Baouendi-Grushin vector fields (see Theorem 2.5…
Sharp remainder of the -Poincaré inequality for Baouendi-Grushin vector fields
Kuralay Apseit, Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we establish a sharp remainder formula for the Poincaré inequality for Baouendi-Grushin vector fields in the setting of for complex-valued functions. In spec…
A comparison principle for nonlinear parabolic equations with nonlocal source and gradient absorption
Zhaniya Amirzhankyzy, Nurgissa Yessirkegenov
This paper investigates the initial-boundary value problem for a nonlinear parabolic equation involving the -Laplacian operator, nonlocal source terms, gradient absorption, and…
Cylindrical extensions of critical Sobolev type inequalities and identities
Michael Ruzhansky, Yerkin Shaimerdenov, Nurgissa Yessirkegenov
In this paper, we investigate cylindrical extensions of critical Sobolev type (improved Hardy) inequalities and identities in the style of Badiale-Tarantello [BT02], which in a spe…
Cylindrical Hardy, Sobolev type and Caffarelli-Kohn-Nirenberg type inequalities and identities
Madina Kalaman, Nurgissa Yessirkegenov
In this paper we discuss cylindrical extensions of improved Hardy, Sobolev type and Caffarelli-Kohn-Nirenberg type inequalities with sharp constants and identities in the spirit of…
Critical, stability and higher-order analysis for Hardy type inequalities on Cartan-Hadamard manifolds
Prasun Roychowdhury, Durvudkhan Suragan, Nurgissa Yessirkegenov
In this paper, we focus on three main objectives related to Hardy-type inequalities on Cartan-Hadamard manifolds. Firstly, we explore critical Hardy-type inequalities that contain…
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the comparison principle we obtain blow…
Rellich, Gagliardo-Nirenberg, Trudinger and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications
Andrei Velicu, Nurgissa Yessirkegenov
In this paper we obtain weighted higher order Rellich, weighted Gagliardo-Nirenberg, Trudinger, Caffarelli-Kohn-Nirenberg inequalities and the uncertainty principle for Dunkl opera…
Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we study the global well-posedness of the following Cauchy problem on a sub-Riemannian manifold : \begin{equation*} \begin{cases} u_{t}-\mathfrak{L}_{M} u=f(u), \;…
Very weak solutions to hypoelliptic wave equations
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we study the Cauchy problem for the wave equations for hypoelliptic homogeneous left-invariant operators on graded Lie groups when the time-dependent non-negative pro…
Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations
Michael Ruzhansky, Niyaz Tokmagambetov, Nurgissa Yessirkegenov
In this paper the dependence of the best constants in Sobolev and Gagliardo-Nirenberg inequalities on the precise form of the Sobolev space norm is investigated. The analysis is ca…