Ground states of nonlinear Schrödinger equations with potentials
Article Properties
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DOI (url)
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Publication Date2006/12/01
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Indian UGC (journal)
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Refrences12
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Citations110
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Zhi-Qiang Wang School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou, 350007, PR ChinaDepartment of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA
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Jing Zeng School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou, 350007, PR China
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Yongqing Li School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou, 350007, PR China
Cite
Wang, Zhi-Qiang, et al. “Ground States of Nonlinear Schrödinger Equations With Potentials”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 23, no. 6, 2006, pp. 829-37, https://doi.org/10.1016/j.anihpc.2006.01.003.
Wang, Z.-Q., Zeng, J., & Li, Y. (2006). Ground states of nonlinear Schrödinger equations with potentials. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 23(6), 829-837. https://doi.org/10.1016/j.anihpc.2006.01.003
Wang, Zhi-Qiang, Jing Zeng, and Yongqing Li. “Ground States of Nonlinear Schrödinger Equations With Potentials”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 23, no. 6 (2006): 829-37. https://doi.org/10.1016/j.anihpc.2006.01.003.
Wang ZQ, Zeng J, Li Y. Ground states of nonlinear Schrödinger equations with potentials. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2006;23(6):829-37.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| A positive solution for a nonlinear Schroedinger equation on R^N | Indiana University Mathematics Journal |
| 125 | 2005 |
| Solutions for quasilinear Schrödinger equations via the Nehari method | Communications in Partial Differential Equations |
| 2004 | |
On the Ambrosetti-Rabinowitz Superlinear Condition | Advanced Nonlinear Studies |
| 112 | 2004 |
| On a class of nonlinear Schrödinger equations | Zeitschrift für angewandte Mathematik und Physik |
| 1992 | |
| On the existence of positive entire solutions of a semilinear elliptic equation | Archive for Rational Mechanics and Analysis |
| 1986 |
Refrences Analysis
The category
Science: Mathematics 9
is the most frequently represented among the references in this article. It primarily includes studies from Archive for Rational Mechanics and Analysis and Journal of Functional Analysis. 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 |
|---|---|---|---|---|
| The Ground State Solutions of Discrete Nonlinear Schrödinger Equations with Hardy Weights | Mediterranean Journal of Mathematics |
| 2024 | |
Ground state normalized solutions to the Kirchhoff equation with general nonlinearities: mass supercritical case | Journal of Inequalities and Applications |
| 2024 | |
Ground State Solutions for a Non-Local Type Problem in Fractional Orlicz Sobolev Spaces | Axioms |
| 2024 | |
| Existence of ground state solutions to some Nonlinear Schrödinger equations on lattice graphs | Calculus of Variations and Partial Differential Equations |
| 5 | 2023 |
| Ground States for Logarithmic Schrödinger Equations on Locally Finite Graphs | The Journal of Geometric Analysis |
| 6 | 2023 |
Citations Analysis
The category
Science: Mathematics 103
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Asymptotically linear Schrödinger equation with potential vanishing at infinity and was published in 2008. The most recent citation comes from a 2024 study titled Ground State Solutions for a Non-Local Type Problem in Fractional Orlicz Sobolev Spaces. This article reached its peak citation in 2014, with 17 citations. It has been cited in 52 different journals, 21% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 12 citations. The chart below illustrates the annual citation trends for this article.