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Zbl 0976.35026
Zou, Wenming
Variant fountain theorems and their applications. (English)
[J] Manuscr. Math. 104, No.3, 343-358 (2001). ISSN 0025-2611; ISSN 1432-1785/e

Summary: We establish some variant fountain theorems without (PS)-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.

MSC 2000:: *35J65 (Nonlinear) BVP for (non)linear elliptic equations
58E05 Abstract critical point theory

Keywords: Paley-Smale condition; large energy solutions; nonlinear Schrödinger equations; superquadraticity condition; small negative energy solutions

Cited in: Zbl 1236.35130 Zbl 1230.37081 Zbl 1228.35108 Zbl 1189.35081 Zbl 1167.35368 Zbl 1119.35085 Zbl 1081.35043

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