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Abstract:
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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. |