In this paper, we give a quantitative description of the Fucik spectrum of -Delta 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)), infinity) and C-*(J((a, b)), 0) are obtained provided (a, b) is not an element of Sigma, which is exploited as a tool to generalize a result given by [14] without assuming lambda(l) being simple. Two applications are discussed.
Acad Sinica, Inst Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714
Li, Chong. THE QUANTITATIVE ANALYSIS ON THE FUCIK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2011,13(2):293-308.
APA
Li, Chong.(2011).THE QUANTITATIVE ANALYSIS ON THE FUCIK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,13(2),293-308.
MLA
Li, Chong."THE QUANTITATIVE ANALYSIS ON THE FUCIK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 13.2(2011):293-308.
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