In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion
In this paper, we study the Morrey regularity of solutions to the degenerate elliptic equation -(aijuxi)xj = -(fj)xj in Rn. For this purpose, we introduce four
We discuss a sequence solutions uεfor the E-L equations of the penalized energy defined by Chen-Struwe. We show that the blow-up set of uε is a Hm-2 -rectifia
Some results on the invariant regions ,existence and uniqueness of solutions to a class of integrodifferential systems are established. Applying these results t