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Indexed by:期刊论文

Date of Publication:2016-10-01

Journal:DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Included Journals:SCIE、Scopus

Volume:36

Issue:10

Page Number:5323-5345

ISSN No.:1078-0947

Key Words:Bifurcation; homogeneous operator; p-Laplacian; one-sign solution; superior limit; topological method

Abstract: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.