We study the nonlinear instability of plane wave solutions to a GinzburgLandau equation with derivatives. We show that, under some condition in coefficient of t
We consider the boundary value problem for the quasilinear equation div(A(|Du|)Du) + f(u) = 0, u > 0, x ∈ BR(0), u| BR(0) = 0,where A and f are continuous funct
This paper is conceed with a strongly coupled prey-predator model with homogeneous Dirichlet boundary conditions. The existence and uniqueness of coexistence st
In this paper, we prove the existence and uniqueness of global solutions in Hs (R3) (s∈R, s≥0) for the initial value problem of the bipolar Schrodinger-Poisso
The uniqueness and existence of BV solutions to Dirichlet problem of doubly degenerate parabolic equations of the following form (ъu/ъt)= div(A(|(△)B(u)|)(△
Local W1,q estimates for weak solutions to a class of equations in divergence formDi (aij (x)|Du|p-2Dju) = 0are obtained, where q > p is given. These estimates a
In this paper, the existence of homoclinic orbits, for a perturbed cubicquintic nonlinear Schrodinger equation with even periodic boundary conditions, under the