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manuscripta mathematica

, Volume 104, Issue 3, pp 343–358 | Cite as

Variant fountain theorems and their applications

  • Wenming Zou

Abstract:

In this paper we establish some variant fountain theorems without (P.S.)-type assumption. The abstract results will be used to study the symmetric nonlinear Schrödinger equations and Dirichlet boundary value problems. Under no Ambrosetti–Rabinowitz's superquadraticity condition, we obtain infinitely many large energy and small negative energy solutions respectively.

Mathematics Subject Classification (2000): Primary 35J65, 58E05, 49B27 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Wenming Zou
    • 1
  1. 1.Department of Mathematical Sciences, Tsinghua University, Beijing 100084,¶P. R. China. e-mail: wzou@math.tsinghua.edu.cnCN

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