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math.AP2021★ 1 cited
On isolated singularities for fractional Lane-Emden equation in the Serrin's critical case
Huyuan Chen, Hichem Hajaiej
In this paper, we solve the fractional Lane-Emden equation in the Serrin's critical case for the fractional Laplacian by developing an innovative and self-contained approach that a…
math.AP2021
On isolated singular solutions of semilinear Helmholtz equation
Huyuan Chen, Feng Zhou
Our purpose of this paper is to study isolated singular solutions of semilinear Helmholtz equation $$ -Δu-u=Q|u|^{p-1}u \quad{\rm in}\ \ \mathbb{R}^N\setminus\{0\},\ \qquad\lim_{|x…
math.AP2021
Bounds of Dirichlet eigenvalues for Hardy-Leray operator
Huyuan Chen, Feng Zhou
The purpose of this paper is to study the eigenvalues for the Dirichlet Hardy-Leray operator, i.e. $$ -Δu+μ|x|^{-2}u=λu\ \ {\rm in}\ \, Ω,\quad\quad u=0\ \ {\rm on…