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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：山东大学
学位：博士
所在单位：数学科学学院
电子邮箱：hanzhiq@dlut.edu.cn
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Existence of solutions to quasilinear schr?dinger equations with indefinite potential
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论文类型：期刊论文
发表时间：2015-01-01
发表刊物：Electronic Journal of Differential Equations
收录刊物：Scopus
卷号：2015
ISSN号：10726691
摘要：In this article, we study the existence and multiplicity of solutions of the quasilinear Schr?dinger equation Cu?+V(x)u ? ( u 2)?u = f(u) on ?, where the potential V allows sign changing and the nonlinearity satisfies conditions weaker than the classical Ambrosetti-Rabinowitz condition. By a local linking theorem and the fountain theorem, we obtain the existence and multiplicity of solutions for the equation. ? 2015 Texas State University - San Marcos.