陈芳启
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所属单位:理学院
发表刊物:MATHEMATICAL METHODS IN THE APPLIED SCIENCES
关键字:p-Laplacian operator critical point theorem boundary value problem fractional differential systems
摘要:In this paper, the existence and multiplicity of nontrivial solutions are obtained for nonlinear fractional differential systems with p-Laplacian by combining the properties of fractional calculus with critical point theory. Firstly, we present a result that a class of p-Laplacian fractional differential systems exists infinitely many solutions under the famous Ambrosetti-Rabinowitz condition. Then, a criterion is given to guarantee that the fractional systems exist at least 1 nontrivial solution without satisfying Ambrosetti-Rabinowitz condition. Our results generalize some existing results in the literature.
ISSN号:0170-4214
是否译文:否
发表时间:2018-05-30
合写作者:历东平,安玉坤
通讯作者:陈芳启,安玉坤,陈芳启