Intermediate reduction method and infinitely many positive solutions of nonlinear Schr?dinger equations with non-symmetric potentials

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• 作者：Manuel del Pino ; Juncheng Wei ; Wei Yao
• 关键词：35J15 ; 35J61 ; 35B08 ; 35B09 ; 35Q55
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：53
• 期：1-2
• 页码：473-523
• 全文大小：543 KB
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• 作者单位：Manuel del Pino (1)
  Juncheng Wei (2) (3)
  Wei Yao (1)
  
  1. Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
  2. Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
  3. Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mathematical and Computational Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0835

文摘

We consider the standing-wave problem for a nonlinear Schr?dinger equation, corresponding to the semilinear elliptic problem $$\begin{aligned} -\Delta u+V(x)u=|u|^{p-1}u,\ u\in H^1(\mathbb {R}^2), \end{aligned}$$