From the 1 of 12 linked papers with an AI index.
12 papers
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…
The Stein-Weiss inequality in variable exponent Morrey spaces
David Cruz-Uribe, Arash Ghorbanalizadeh, Durvudkhan Suragan
In this paper we prove the Stein-Weiss inequality in variable exponent Morrey spaces over a bounded domain. Our work extends earlier results in the variable exponent Lebesgue and M…
Eigenvalue lower bounds through a generalized inradius
Rupert L. Frank, Ari Laptev, Durvudkhan Suragan
Lieb has shown a lower bound on the smallest Dirichlet eigenvalue of the Laplace operator in terms of a generalized inradius. We derive similar bounds for Robin eigenvalues, for ei…
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…
On Herz-Bochkarev limiting problem
Erlan Nursultanov, Arash Ghorbanalizadeh, Durvudkhan Suragan
This paper studies Hausdorff-Young-type inequalities within the framework of Lorentz spaces . Focusing on the dependence of the associated constants on the integrability p…