7 papers
On generalized Fermat Diophantine functional and partial differential equations in
Wei Chen, Qi Han, Qiong Wang
In this paper, we characterize meromorphic solutions to the generalized Fermat Diophantine functional equations in $\mathbf{…
Elliptic variational problems with mixed nonlinearities
Qi Han
In this paper, we study the existence and multiplicity results of nontrivial positive solutions to a quasilinear elliptic equation in $\RN$, when , as \begin{equation} \Lp…
Compact embeddings of some weighted fractional Sobolev spaces on $\Rn$
Qi Han
In this paper, we study a family of general fractional Sobolev spaces $\MsqpOm$ when $\Om=\Rn$ or $\Om$ is a bounded domain, having a compact, Lipschitz boundary $\Bdy$, in $\Rn$ f…
Compact Sobolev embeddings and positive solutions to a quasilinear equation with indefinite nonlinearities
Qi Han
In this paper, we study the existence and multiplicity results of nontrivial positive solutions to the following quasilinear elliptic equation on $\RN$, when , \begin{equat…
On the value distribution of the Riemann zeta-function and the Euler gamma-function
Qi Han, Jingbo Liu, Qiong Wang
We prove some uniqueness results for the Riemann zeta-function and the Euler gamma-function by virtue of shared values using the value distribution theory.
On differential independence of $\mathboldζ$ and $\mathboldΓ$
Qi Han, Jingbo Liu
In this note, we will prove that $\mathboldζ$ and $\mathboldΓ$ can not satisfy any differential equation generated through a family of functions continuous in $\mathboldζ$ with pol…