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

作　　者：王奇[1] 刘文杰[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》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)

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.

关 键 词：(p-q)-Laplacian方程 不具AR条件 山路引理 存在性和多重性 

分 类 号：O176.3[理学—数学]