摘要
We establish the unilateral global bifurcation result for the following nonlinear operator equation u=L(λ)u + H(λ, u),(λ, u)∈ Rm×X where m is a positive integer, X is a Banach space, L(·) is a positively homogeneous completely continuous operator and H:R^m×X → X is completely continuous with H=o (||u||) near u=0 uniformly on bounded λ sets.
We establish the unilateral global bifurcation result for the following nonlinear operator equation u=L(λ)u+H(λ,u),(λ,u) ∈R^m× X where m is a positive integer,X is a Banach space,L(·) is a positively homogeneous completely continuous operator and H:R^m × X→X is completely continuous with H=o(‖u‖)near u=0 uniformly on bounded λ sets.
作者
Xiaofei CAO
Guowei DAI
曹晓菲;代国伟(Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China;School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China)
基金
supported by National Natural Science Foundation of China(11871129)
