论文信息 - Branching of solutions of an equation in Hilbert space

Branching of solutions of an equation in Hilbert space

Abstract : A constructive method is developed to study the branching of solutions of the equation (I - lambda L)w + T(w) = nu p in a (real) Hilbert space H(lambda and nu are real parameters). The operator L is linear selfadjoint and compact, and the nonlinear operator T maps a neighborhood of the origin in H into H and is homogeneous of (integral) degree k(k = or > 2). The approach is based on the Lyapunov-Schmidt method and does not require that the nonlinear operator T be compact. (Author)

D. Sather | D. Sather

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