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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 INFINITELY MANY RADIAL SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS
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论文类型：期刊论文
发表时间：2014-10-27
发表刊物：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
收录刊物：SCIE
ISSN号：1072-6691
关键字：Quasilinear elliptic equations; variational methods; radial solutions
摘要：In this article we prove the existence of radial solutions with arbitrarily many sign changes for quasilinear Schrodinger equation
- Sigma(N)(i,j=1) partial derivative(j)(a(ij)(u)partial derivative(i)u) + 1/2 Sigma(N)(i,j=1) a'(ij)(u)partial derivative(i)u partial derivative(j)u+V(x)u = vertical bar u vertical bar(p-1)u, x is an element of R-N,
where N >= 3, p is an element of(1,3N+2/N-2). The proof is accomplished by using minimization under a constraint.