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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 12 September 2000
Rights and permissions
About this article
Cite this article
Zou, W. Variant fountain theorems and their applications. manuscripta math. 104, 343–358 (2001). https://doi.org/10.1007/s002290170032
Issue Date:
DOI: https://doi.org/10.1007/s002290170032