23 citations · 61 across the 41 of their papers we have counts for
64 papers
An Improved Bound for the Ovals Problem
Durvudkhan Suragan
Let be a closed curve of length with its curvature , parametrized by arc length, and let be the first eigenvalue of the periodic cur…
The nonlinear Hausdorff-Young inequality
Durvudkhan Suragan
We prove the constant-one discrete nonlinear Hausdorff-Young inequality. As a consequence, by a discrete-to-continuous limiting argument, we obtain $$ \|(\log|a_f|^{2})^{1/2}\|_{L^…
Explicit constants in -Hardy inequalities for Aharonov-Bohm potentials
Durvudkhan Suragan
For the two-dimensional Aharonov-Bohm potential with flux and , Cazacu, Krejčiř\'ık, Lam and Laptev proved by a compactness argument that their con…
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…