Splitting theorem, Poincaré–Hopf theorem and jumping nonlinear problems
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2005/04/01
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Journal
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Indian UGC (journal)
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Refrences9
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Citations20
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Chong Li
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Shujie Li
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Jiaquan Liu
Cite
Li, Chong, et al. “Splitting Theorem, Poincaré–Hopf Theorem and Jumping Nonlinear Problems”. Journal of Functional Analysis, vol. 221, no. 2, 2005, pp. 439-55, https://doi.org/10.1016/j.jfa.2004.09.010.
Li, C., Li, S., & Liu, J. (2005). Splitting theorem, Poincaré–Hopf theorem and jumping nonlinear problems. Journal of Functional Analysis, 221(2), 439-455. https://doi.org/10.1016/j.jfa.2004.09.010
Li C, Li S, Liu J. Splitting theorem, Poincaré–Hopf theorem and jumping nonlinear problems. Journal of Functional Analysis. 2005;221(2):439-55.
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems | 2000 | |||
| Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations | Journal of Differential Equations |
| 56 | 1985 |
| A note on the topological degree at a critical point of mountain pass type | Proceedings of the American Mathematical Society |
| 1984 | |
| Lusternik-Schnirelman theory on Banach manifolds | Topology | 206 | 1966 | |
| An Infinite Dimensional Version of Sard's Theorem | American Journal of Mathematics |
| 286 | 1965 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 3 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 3
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Differential Equations and Proceedings of the American Mathematical Society. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Multiple Solutions for a Kirchhoff-Type Equation | Mediterranean Journal of Mathematics |
| 5 | 2020 |
Nonlinear Dirichlet problems with unilateral growth on the reaction | Forum Mathematicum |
| 2018 | |
| The Fučík spectrum of Schrödinger operator and the existence of four solutions of Schrödinger equations with jumping nonlinearities | Journal of Differential Equations |
| 4 | 2017 |
| Superlinear Neumann problems with the p-Laplacian plus an indefinite potential | Annali di Matematica Pura ed Applicata (1923 -) |
| 6 | 2016 |
| Robin problems with indefinite, unbounded potential and reaction of arbitrary growth | Revista Matemática Complutense |
| 22 | 2015 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 18 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 14 |
The category
Science: Mathematics 18
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the Fucík spectrum and was published in 2008. The most recent citation comes from a 2020 study titled Multiple Solutions for a Kirchhoff-Type Equation. This article reached its peak citation in 2013, with 4 citations. It has been cited in 14 different journals, 7% of which are open access. Among related journals, the Nonlinear Analysis cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.