Variant fountain theorems and their applications
Variant fountain theorems and their applications
复制标题
DOI：
10.1007/s002290170032
复制
发表时间：
2001-03
影响因子：
0.6
通讯作者：
W. Zou
中科院分区：
文献类型：
--
作者：
W. Zou
本文建立了一些不含（P.S.）类型假设这些抽象结果将用于研究对称非线性薛定谔方程和Dirichlet边值问题。在不满足Ambrosetti-Rabinowitz超二次性条件下，我们分别得到了无穷多个大能量解和无穷多个小负能量解。
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.