SelectedWorks - Chunshan Zhao

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Selected Works of Chunshan Zhao

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Chunshan Zhao is a Professor in the College of Science and Mathematics, Department of Mathematical Sciences on the Statesboro campus of Georgia Southern University.

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About Chunshan Zhao

Chunshan Zhao is a Professor in the College of Science and Mathematics, Department of Mathematical Sciences on the Statesboro campus of Georgia Southern University.

Refereed Journal Articles (36)

Multiple Solutions With Constant Sign of a Dirichlet Problem for ...

Discrete and Continuous Dynamical Systems, Series A (2017)

Li Yin, Jinghua Yao, Qihu Zhang and Chunshan Zhao

We present here, in the system setting, a new set of growth conditions under which we manage to use a ...

Existence of Solutions for a Variable Exponent System without PS ...

Electronic Journal of Differential Equations (2015)

Li Yin, Yuan Liang, Qihu Zhang and Chunshan Zhao

In this article, we study the existence of solution for the following elliptic system of variable exponents with perturbation terms ...

Existence of Strong Solutions of a P(X) -Laplacian Dirichlet ...

Computers & Mathematics with Applications (2015)

Qihu Zhang and Chunshan Zhao

In this paper, we consider the existence of strong solutions of the following p(x)-Laplacian Dirichlet problem via critical point theory ...

Existence of Positive Solutions for p(x)-Laplacian Equations with ...

Electronic Journal of Differential Equations (2014)

Jingjing Liu, Qihu Zhang and Chunshan Zhao

In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem −∆p(x)u = λf(x, u) in ...

On the Boundary Blow-Up Solutions of p(x)-Laplacian Equations ...

Taiwanese Journal of Mathematics (2014)

Yuan Liang, Qihu Zhang and Chunshan Zhao

In this paper we investigate boundary blow-up solutions of the problem ⎧⎩⎨⎪⎪−△p(x)u+f(x,u)=ρ(x,u)+K(|x|)|∇u|δ(|x|) in Ω, u(x)→+∞ as d(x, ∂Ω)→0, where −△p(x)u=−div(|∇u|p(x)−2∇u) ...

Multiple Solutions of a p(x)-Laplacian Equation Involving Critical ...

Taiwanese Journal of Mathematics (2013)

Yuan Liang, Xianbin Wu, Qihu Zhang and Chunshan Zhao

In this paper, we consider the existence of multiple solutions for the following p(x)-Laplacian equations with critical Sobolev growth conditions ...

Existence, Uniqueness and Blow-Up Rate of Large Solutions of Quasi-Linear ...

Journal of Partial Differential Equations (2013)

Qihu Zhang and Chunshan Zhao

We establish the existence, uniqueness and the blow-up rate of the large positive solutions of the quasi-linear elliptic problem -Δ ...

Blow-Up Rate and Uniqueness of Singular Radial Solutions for a ...

Journal of Differential Equations (2012)

Zhifu Xie and Chunshan Zhao

We establish the uniqueness and the blow-up rate of the large positive solution of the quasi-linear elliptic problem −Δpu=λup−1−b(x)h(u) in ...

Locating the Peaks of Least-Energy Solutions to a Quasi-Linear Elliptic ...

Nonlinear Analysis: Theory, Methods & Applications (2010)

Chunshan Zhao and Yi Li

We continue our work (Y. Li, C. Zhao, Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem, ...

On the Structure of Solutions to a Class of Quasilinear ...

Calculus of Variations and Partial Differential Equations (2010)

Chunshan Zhao and Yi Li

We continue our work (Y. Li, C. Zhao in J Differ Equ 212:208–233, 2005) to study the structure of positive ...

Remark on Asymptotic Behaviors of Solutions to Quasi-Linear Elliptic Dirichlet ...

Nonlinear Analysis: Theory, Methods & Applications (2009)

We study asymptotic behaviors of nontrivial solutions to the Dirichlet problem of a quasi-linear elliptic equation and obtain a lower ...

Remark on Exponential Decay of Ground States for N-Laplacian ...

Journal of Partial Differential Equations (2009)

We study exponential decay property of radial ground states to a class of N-Laplacian elliptic equations in the whole space ...

Asymptotic Behaviors of a Class of N-Laplacian Neumann Problems ...

Nonlinear Analysis: Theory, Methods & Applications (2008)

We study asymptotic behaviors of positive solutions to the equation εNΔNu−uN−1+f(u)=0 with homogeneous Neumann boundary condition in a smooth bounded ...

Nodal Solutions of a Perturbed Elliptic Problem

Topological Methods in Nonlinear Analysis (2008)

Yi Li, Zhaoli Liu and Chunshan Zhao

Multiple nodal solutions are obtained for the elliptic problem −Δu=f(x,u) + εg (x,u) in Ω, u= 0 on ∂Ω, where ...

Locating the Peaks of Least Energy Solutions to a Quasilinear ...

Journal of Mathematical Analysis and Applications (2007)

Yi Li and Chunshan Zhao

In this paper we study the shape of least-energy solutions to the quasilinear problem εmΔmu−um−1+f(u)=0 with homogeneous Neumann boundary condition. ...

On the Shape of Least-Energy Solutions for a Class of ...

IMA Journal of Applied Mathematics (2007)

Yi Li and Chunshan Zhao

Abstract: We study the shape of least-energy solutions to the quasilinear elliptic equation ∊mΔmu − um−1 + f(u) = 0 ...

Global LN Strong Solutions to the Magneto-Hydro-Dynamics Equations in the ...

Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis (2007)

Chunshan Zhao and Yinnian He

We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole Rn ...

Existence, Uniqueness and Decay Properties of Strong Solutions to an ...

Journal of Dynamics and Differential Equations (2006)

Yi Li and Chunshan Zhao

Existence and uniqueness of local strong solutions and small global strong solutions of an evolutionary system of magnetohydrodynamics type in ...

Asymptotic Lp-Stability for Strong Solutions of Magneto-Mydrodynamics Equations in the ...

Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms (2005)

Chunshan Zhao and Yinnian He

Asymptotic L-p-stability of global strong solutions of Magneto-Hydrodynamics (MHD) equations in the whole R-3 space will be studied in this ...

A Note on Exponential Decay Properties of Ground States for ...

Proceedings of the American Mathematical Society (2005)

Yi Li and Chunshan Zhao

We give an explicit formula for exponential decay properties of ground states for a class of quasulinear elliptic equations in ...

On the Structure of Solutions to a Class of Quasilinear ...

Journal of Differential Equations (2005)

Yi Li and Chunshan Zhao

We study the structure of positive solutions to the equation ɛmΔmu -um-1+fu=0 with homogeneous Neumann boundary condition. First, we show the existence of ...

Global Existence of Solutions to a Cross-Diffusion System in Higher ...

Discrete & Continuous Dynamical Systems (2005)

Chunshan Zhao and Yi Li

We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N-dimensional (N≥1)(N≥1) domains. We establish global existence of classical ...

Uniform Stability of Spectral Nonlinear Galerkin Methods

Numerical Methods for Partial Differential Equations (2004)

Yinnian He, Kaitai Li and Chunshan Zhao

This article provides a stability analysis for the backward Euler schemes of time discretization applied to the spatially discrete spectral ...

On Existence, Uniqueness and Lr-Exponential Stability for Stationary Solutions to ...

The ANZIAM Journal (2004)

Chunshan Zhao and Kaitai Li

The existence of stationary solutions to the MHD equations in three-dimensional bounded domains will be proved. At the same time ...

Initial Boundary Value Problem for the Evolution System of MHD ...

Mathematical Methods in the Applied Sciences (2003)

The initial boundary value problem for the evolution system describing geophysical flow in three-dimensional domains was considered. The existence and ...