17 citations · 24 across the 11 of their papers we have counts for
11 papers
Continuity of weak solutions to an elliptic problem on -fractional Laplacian
Wei Chen, Qi Han, Guoping Zhan
In this paper we study an elliptic variational problem regarding the -fractional Laplacian in on the basis of recent result \cite{Ha1}, which generalizes the nice…
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…
Algebraic differential independence regarding the Riemann -function and the Euler -function
Qi Han, Jingbo Liu
In this paper, we prove that cannot be a solution to any nontrivial algebraic differential equation whose coefficients are polynomials in $\boldsymbolΓ,\boldsymbolΓ^…
On Fermat Diophantine functional equations and little Picard theorem
Jingbo Liu, Qi Han, Wei Chen
We discuss equivalence conditions on the non-existence of non-trivial meromorphic solution to the Fermat Diophantine equations with integers , from whic…
A non-integrated hypersurface defect relation for meromorphic maps over complete Kähler manifolds into projective algebraic varieties
Wei Chen, Qi Han
In this paper, a non-integrated defect relation for meromorphic maps from complete Kähler manifolds into smooth projective algebraic varieties intersecting hypersurfaces lo…
On the uniqueness problems of entire functions and their linear differential polynomials
Qi Han, Hongxun Yi
The uniqueness problems on transcendental meromorphic or entire functions sharing at least two values with their derivatives or linear differential polynomials have been studied an…