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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：西北师范大学
学位：博士
所在单位：数学科学学院
学科：应用数学. 基础数学
办公地点：B1409
联系方式：大连理工大学创新园大厦
电子邮箱：daiguowei@dlut.edu.cn
MULTIPLE SOLUTIONS FOR A FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH LOCAL POTENTIAL
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论文类型：期刊论文
发表时间：2017-11-01
发表刊物：COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
收录刊物：Scopus、SCIE
卷号：16
期号：6
页面范围：2105-2123
ISSN号：1534-0392
关键字：Penalization techniques; Ljusternik-Schnirelmann theory; fractional Schrodinger equation; multiple solutions; single spike solutions
摘要：Using penalization techniques and the Ljusternik-Schnirelmann theory, we establish the multiplicity and concentration of solutions for the following fractional Schrodinger equation
{ epsilon(2 alpha) (-Delta)(alpha)u + V(x)u = f(u), x is an element of R-N, u is an element of H-alpha (R-N), u > 0, x is an element of R-N,
where 0 < alpha < 1, N > 2 alpha, epsilon > 0 is a small parameter, V satisfies the local condition, and f is superlinear and subcritical nonlinearity. We show that this equation has at least cat M-delta (M) single spike solutions.