THE QUANTITATIVE ANALYSIS ON THE FUCÍK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS
THE QUANTITATIVE ANALYSIS ON THE FUCÍK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS
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DOI：
10.1142/s0219199711004257
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发表时间：
2011-11
影响因子：
1.6
通讯作者：
Chong Li
中科院分区：
文献类型：
--
作者：
Chong Li
本文给出了-Δ的Fucik谱在几种技术条件下的定量描述，得到了一些改进[5，定理2.6和3.3]的结果.在（a，B）<$∑的条件下，得到了C*（J（a，B，f），∞）与C*（J（a，B），0）之间的同构，并以此为工具推广了文[14]中的一个结果，而不必假设λl是单的.两个应用程序进行了讨论。
In this paper, we give a quantitative description of the Fucik spectrum of -Δ with several technical conditions and get some results which improve considerably [5, Theorems 2.6 and 3.3]. The isomorphism between C*(J(a, b, f), ∞) and C*(J(a, b), 0) are obtained provided (a,b) ∉ ∑, which is exploited as a tool to generalize a result given by [14] without assuming λl being simple. Two applications are discussed.