Elliptic system Fixed-point principle Lyapunov Schmidt Semilinear
Issue Date:
2005
Publisher:
Electronic Journal of Differential Equations
Citation:
Volume 2005, Page count 8
Abstract:
In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system -
??u = ?u + ??v + f(u,v), -??v = ??u + ??v + g(u,v), on a bounded domain of ?n, with zero Dirichlet boundary
conditions. We use the Lyapunov-Schmidt method and the fixed-point principle. ?? 2005 Texas State
University - San Marcos.In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system -
??u = ?u + ??v + f(u,v), -??v = ??u + ??v + g(u,v), on a bounded domain of ?n, with zero Dirichlet boundary
conditions. We use the Lyapunov-Schmidt method and the fixed-point principle. ?? 2005 Texas State
University - San Marcos.
