4 citations · 6 across the 6 of their papers we have counts for
7 papers
Uniqueness of positive solutions to elliptic equations with the critical exponential growth on the unit disc and its applications
Lu Chen, Guozhen Lu, Ying Xue +1
In this paper, we will solve this uniqueness problem of positive solutions to the following equations of exponential growth: \begin{equation*} \begin{cases} -Δu =λue^{u^2},\quad\qu…
Existence and Non-existence of Ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials
Lu Chen, Guozhen Lu, Maochun Zhu
Recently, the authors of the current paper established in [9] the existence of a ground-state solution to the following bi-harmonic equation with the constant potential or Rabinowi…
Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half spaces
Lu Chen, Guozhen Lu, Qiaohua Yang +1
In this paper, we establish the sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the half spaces and prove the existence of their extremals through th…
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials
Lu Chen, Guozhen Lu, Maochun Zhu
In this paper, we first give a necessary and sufficient condition for the boundedness and the compactness for a class of nonlinear functionals in . Using this…
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg Groups and existence of ground state solutions
Jungang Li, Guozhen Lu, Maochun Zhu
Let be the -dimensional Heisenberg group, be the homogeneous dimension of . We extend the well-known con…
A sharp Trudinger-Moser type inequality involving norm in the entire space
Guozhen Lu, Maochun Zhu
Let be the standard Sobolev space and be the norm on . We establish a sharp form of the followi…