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论文类型：期刊论文

发表时间：2015-08-01

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物：EI、SCIE、Scopus

卷号：38

期号：12

页面范围：2650-2662

ISSN号：0170-4214

关键字：Kirchhoff type problems; variational methods; a priori estimates

摘要：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.