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不具AR条件的(p-q)-Laplacian方程解的存在性和多重性（英文）

Existence and Multiplicity of Solutions for(p-q)-Laplacian Equations Without the AR-condition
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摘要 本文研究一类不具AR条件的(p-q)-Laplacian方程.利用山路引理的方法,获得该类方程解的存在性和多重性结果,补充和推广了已有的相关结果. In this paper, we consider a class of （p - q）-Laplacian equations without the AR-condition. By using Mountain Pass Lemma, we show the existence and multiplicity of solutions for this equation, which complements and extends some known results.
作者 王奇 刘文杰
机构地区 安徽大学数学科学学院
出处 《应用数学》 CSCD 北大核心 2016年第3期606-613,共8页 Mathematica Applicata
基金 Supported by Anhui Provincial Natural Science Foundation(1408085MA02,1508085QA01,1608085MA12) the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028,KJ2014A010) 211 Project of Anhui University(KJJQ1101,02303303-33030011,02303902-39020011,J18520207,XJYJXKC04) the National Natural Science Foundation of China(11271371,11301004,51479215,11471015)
关键词 (p-q)-Laplacian方程 不具AR条件 山路引理 存在性和多重性 （p - q）-Laplacian equation Without the AR-condition Mountain pass theorem Existence and multiplicity
分类号 O176.3 [理学—基础数学]
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参考文献18

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应用数学
2016年 第3期

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