3 citations · 10 across the 11 of their papers we have counts for
10 papers · 1 filter
Multiple solutions with constant sign of a Dirichlet problem for a class of elliptic systems with variable exponent growth
Li Yin, Jinghua Yao, Qihu Zhang +1
We investigate the following Dirichlet problem with variable exponents: \begin{equation*} \left\{ \begin{array}{l} -\bigtriangleup _{p(x)}u=λα(x)\left\vert u\right\vert ^{α(x)-2}u\…
Multiplicity of strong solutions for a class of elliptic problems without the Ambrosetti-Rabinowitz condition in
Li Yin, Jinghua Yao, Qihu Zhang +1
We investigate the existence and multiplicity of solutions to the following -Laplacian problem in via critical point theory \begin{equation*} \left\{ \begin{…
Oscillation and Instability in Chemical Reactions
Jinghua Yao, Xiaoyan Wang
We prove that the famous diffusive Brusselator model can support more complicated spatial-temporal wave structure than the usual temporal-oscillation from a standard Hopf bifurcati…
Dynamical behavior of a system modeling wave bifurcations with higher order viscosity
Tong Li, Xiaoyan Wang, Jinghua Yao
We rigorously show that a class of systems of partial differential equations modeling wave bifurcations supports stationary equivariant bifurcation dynamics through deriving its fu…
O(2) Hopf bifurcation of viscous shock waves in a channel
Alin Pogan, Jinghua Yao, Kevin Zumbrun
Extending work of Texier and Zumbrun in the semilinear non-re ection symmetric case, we study O(2) transverse Hopf bifurcation, or \cellular instability," of viscous shock waves in…
Equivariant Hopf bifurcation with arbitrary pressure laws
Tong Li, Jinghua Yao
The equivariant Hopf bifurcation dynamics of a class of system of partial differential equations is carefully studied. The connections between the current dynamics and fundamental…
High Energy Solutions to Laplacian Equations of Schrödinger type
Duchao Liu, Xiaoyan Wang, Jinghua Yao
In this paper, we investigate nonlinear Schrdinger type equations in under the framework of variable exponent spaces. We propose new assumptions on the nonlinear te…
Solutions for Neumann boundary value problems involving -Laplace operators
Duchao Liu, Xiaoyan Wang, Jinghua Yao
In this paper we study the nonlinear Neumann boundary value problem of the following equations -\text{div}(|\nabla u|^{p_{1}(x)-2}\nabla u)-\text{div}(|\nabla u|^{p_{2}(x)-2}\nabla…
Stability of ZND detonations for Majda's model
Soyeun Jung, Jinghua Yao
We evaluate by direct calculation the Lopatinski determinant for ZND detonations in Majda's model for reacting flow, and show that on the nonstable (nonnegative real part) complex…
Existence and stability of periodic planar standing waves in phase-transitional elasticity with strain-gradient effects
Jinghua Yao
Extending investigations of Antman & Malek-Madani, Schecter & Shearer, Slemrod, Barker & Lewicka & Zumbrun, and others, we investigate phase-transitional elasticity models of strai…