Solutions of Asymptotically Linear Operator Equations via Morse Theory.
Solutions of Asymptotically Linear Operator Equations via Morse Theory.
复制标题
DOI：
10.1002/cpa.3160340503
复制
发表时间：
1981-09
影响因子：
3
通讯作者：
Kung-Ching Chang
中科院分区：
文献类型：
--
作者：
Kung-Ching Chang
摘要：本文利用经典的莫尔斯临界点理论研究了一类渐近线性算子方程解的存在性和多解性。作为特殊情况，我们包括半线性椭圆边值问题的多重性结果，以及半线性波动方程和Hamilton系统的周期解的存在性和多重性。这些结果简化和补充了Amann Zehnder和Castro Lazer最近的工作。（作者）
Abstract : In this paper, we use the classical Morse theory of critical points to study the existence and multiplicity of solutions of a class of asymptotically linear operator equations. As special cases, we include multiplicity results for semilinear elliptic BVP's, as well as existence and multiplicity of periodic solutions of semilinear wave equation and of Hamiltonian systems. These results simplify and complement recent work of Amann Zehnder and Castro Lazer. (Author)