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:Rm×X → X is completely continuous with H=o (||u||) near u=0 uniformly on bounded λ sets.
Xiaofei CAO
,
Guowei DAI
. UNILATERAL BIFURCATION FOR SEVERAL-PARAMETER EIGENVALUE PROBLEM WITH HOMOGENEOUS OPERATOR[J]. Acta mathematica scientia, Series B, 2019
, 39(5)
: 1406
-1414
.
DOI: 10.1007/s10473-019-0517-7
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