3 citations · 5 across the 7 of their papers we have counts for
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Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data
The Anh Bui, Xuan Thinh Duong
Consider the following nonlinear elliptic equation of -Laplacian type with nonstandard growth \begin{equation*} \left\{ \begin{aligned} &{\rm div} a(Du, x)=μ\quad &\text{in}&…
Exponential-square integrability, weighted inequalities for the square functions associated to operators and applications
Peng Chen, Xuan Thinh Duong, Liangchuan Wu +1
Let be a metric space with a doubling measure. Let be a nonnegative self-adjoint operator acting on , hence generates an analytic semigroup . Assume th…
Weighted estimates for powers and Smoothing estimates of Schrödinger operators with inverse-square potentials
The Anh Bui, Piero D'Ancona, Xuan Thinh Duong +2
Let be a Schrödinger operator with inverse square potential on . The main aim of this paper is to prove weighted estimates for fr…
A Moser type inequality for Bessel Laplace equations and applications
Xuan Thinh Duong, Zihua Guo, Ji Li +1
In this paper, we study Bessel operators and Bessel Laplace equations studied by Weinstein, Huber, and related the harmonic function theory introduced by Muckenhoupt--Stein. We est…