Electron. J. Diff. Equ., Vol. 2013 (2013), No. 227, pp. 1-16.

Ground state solutions for asymptotically periodic Schrodinger equations with critical growth

Hui Zhang, Junxiang Xu, Fubao Zhang

Abstract:
Using the Nehari manifold and the concentration compactness principle, we study the existence of ground state solutions for asymptotically periodic Schrodinger equations with critical growth.

Submitted December 17, 2012. Published October 11, 2013.
Math Subject Classifications: 35J05, 35J20, 35J61.
Key Words: Asymptotically periodic Schrodinger equation; Nehari manifold; critical growth; ground state solution.

Show me the PDF file (279 KB), TEX file, and other files for this article.

Hui Zhang
Department of mathematics
Jinling Institute of Technology
Nanjing 211169, China
email: huihz0517@126.com
  Junxiang Xu
Department of mathematics, Southeast University
Nanjing 210096, China
email: xujun@seu.edu.cn
  Fubao Zhang
Department of mathematics, Southeast University
Nanjing 210096, China
email: zhangfubao@seu.edu.cn

Return to the EJDE web page