Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-01-15

Journal: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals: SCIE

Volume: 433

Issue: 2

Page Number: 749-761

ISSN: 0022-247X

Key Words: Global bifurcation; Several-parameter; Fucik spectrum

Abstract: In this paper, we investigate the structure of the nontrivial solution set for the following nonlinear operator equation
   u = L(lambda)u + H(lambda, u), (A, u) is an element of R-m x X,
   where m is a positive integer, X is a Banach space, L(.):X -> X is a (positively) homogeneous compact operator and H : x X X is compact with H = o (parallel to u parallel to) near u = 0 uniformly on bounded lambda sets. We obtain some results involving (unilateral) global bifurcation. Two examples of p-Laplacian problem with jumping nonlinearity and nonlocal boundary value problem are given to demonstrate how the theory can be applied. (C) 2015 Elsevier Inc. All rights reserved.