From the 1 of 14 linked papers with an AI index.
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Explicit constants in -Hardy inequalities for Aharonov-Bohm potentials
Durvudkhan Suragan
The paper provides explicit two‑sided bounds for the constant in L^p Hardy inequalities with two‑dimensional Aharonov‑Bohm magnetic potentials, showing how the constant depends on…
Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
Priyank Oza, Vishvesh Kumar, Durvudkhan Suragan
We study a class of inhomogeneous parabolic equations on the Heisenberg group $\mathbbm{H}^N$ with Hardy-type singular potentials, nonlocal memory terms, and a space-time forcing t…
Subelliptic -Laplacian spectral problem for Hörmander vector fields
Mukhtar Karazym, Durvudkhan Suragan
Based on variational methods, we study the spectral problem for the subelliptic -Laplacian arising from smooth Hörmander vector fields. We derive the smallest eigenvalue, prove…
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…
Fujita exponent for the fractional sub-Laplace semilinear heat equation with forcing term on the Heisenberg group
Priyank Oza, Durvudkhan Suragan
In this paper, we study the semilinear heat equation with a forcing term, driven by the fractional sub-Laplacian (-Î_{\mathbbm{H}^N})^s of order on the Heisenberg gr…
Nonexistence of solutions of certain semilinear heat equations
Durvudkhan Suragan, Bharat Talwar
We consider a semilinear heat equation involving a forcing term which depends only on the space variable. To start with, the existence of a local mild solution is proved through an…