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论文类型：期刊论文

发表时间：2016-10-01

发表刊物：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

收录刊物：SCIE、Scopus

卷号：36

期号：10

页面范围：5323-5345

ISSN号：1078-0947

关键字：Bifurcation; homogeneous operator; p-Laplacian; one-sign solution; superior limit; topological method

摘要：In this paper, we use bifurcation method to investigate the existence and multiplicity of one-sign solutions of the p-Laplacian involving a linear/superlinear nonlinearity with zeros. To do this, we first establish a bifurcation theorem from in finity for nonlinear operator equation with homogeneous operator. To deal with the superlinear case, we establish several topological results involving superior limit.