Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2015-08-01

Journal: MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Included Journals: Scopus、SCIE、EI

Volume: 38

Issue: 12

Page Number: 2650-2662

ISSN: 0170-4214

Key Words: Kirchhoff type problems; variational methods; a priori estimates

Abstract: In this paper, we establish the existence and non-existence of positive solutions for p-Kirchhoff type problems with a parameter on R-N without assuming the usual compactness conditions. We show that the p-Kirchhoff type problems have at least one positive solution when the parameter is small, while the p-Kirchhoff type problems have no positive solutions when the parameter is large. Our argument is based on variational methods, monotonicity methods, cut-off functional techniques, and a priori estimates techniques. Copyright (c) 2014 John Wiley & Sons, Ltd.