Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-10-01

Journal: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Included Journals: Scopus、SCIE

Volume: 36

Issue: 10

Page Number: 5323-5345

ISSN: 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.