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...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.展开更多
基金supported by National Natural Science Foundation of China(11871129)
文摘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.
