4 citations · 6 across the 11 of their papers we have counts for
11 papers · 1 filter
Counting function and lower bound for Dirichlet eigenvalues of the m-order logarithmic Laplacian
Huyuan Chen, Long Chen
Our aim in this article is to obtain the limit of counting function for the Dirichlet eigenvalues involving the m-order logarithmic Laplacian in a bounded Lipschitz domain and to d…
Improved Lerey inequality and Trudinger-Moser type inequality involving the Leray potential
Huyuan Chen, Yihong Du, Feng Zhou
We obtain three types of results in this paper. Firstly we improve Leray's inequality by providing several types of reminder terms, secondly we introduce several Hilbert spaces bas…
Liouville Theorem for semilinear elliptic inequalities with the fractional Hardy operators
Huyuan Chen, Ying Wang, Hichem Hajaiej
In this paper, we give a full classification of the nonexistence of positive weak solutions to the semilinear elliptic inequality involving the fractional Hardy potential in punctu…
Semilinear elliptic equations involving fractional Hardy operators
Huyuan Chen, Konstantinos T. Gkikas, Phuoc-Tai Nguyen
Our aim in this article is to study semilinear elliptic equations involving a fractional Hardy operator, an absorption and a Radon source in a weighted distributional sense. We sho…
On semilinear elliptic equation with negative exponent arising from a closed MEMS model
Huyuan Chen, Ying Wang, Feng Zhou
This paper is concerned with the elliptic equation in a connected, bounded domain of subject to zero Dirichlet boundary conditions,…
Global W^1,p regularity for an elliptic problem with measure source and Leray-Hardy potential,
Huyuan Chen, Hichem Hajaiej
In this paper, we develop the Littman-Stampacchia-Weinberger duality approach to obtain global W^1,p estimates for a class of elliptic problems involving Leray-Hardy operators and…