On the (non)compactness of the radial Sobolev spaces
Article Properties
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DOI (url)
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Publication Date1986/01/01
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Journal
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Indian UGC (journal)
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Refrences5
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Citations12
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Yukiyoshi Ebihara
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Tomas P. Schonbek
Cite
Ebihara, Yukiyoshi, and Tomas P. Schonbek. “On the (non)compactness of the Radial Sobolev Spaces”. Hiroshima Mathematical Journal, vol. 16, no. 3, 1986, https://doi.org/10.32917/hmj/1206130318.
Ebihara, Y., & Schonbek, T. P. (1986). On the (non)compactness of the radial Sobolev spaces. Hiroshima Mathematical Journal, 16(3). https://doi.org/10.32917/hmj/1206130318
Ebihara, Yukiyoshi, and Tomas P. Schonbek. “On the (non)compactness of the Radial Sobolev Spaces”. Hiroshima Mathematical Journal 16, no. 3 (1986). https://doi.org/10.32917/hmj/1206130318.
Ebihara Y, Schonbek TP. On the (non)compactness of the radial Sobolev spaces. Hiroshima Mathematical Journal. 1986;16(3).
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1007/BF01626517 | ||||
| [4] S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Leningrad 1950 [English transl.: Amer. Math. Soc., Transl., Math. Mono. 7 (1963)]. | ||||
| [3] F. Rellich, Ein Satz uber mittlere Konvergenz, Nachr. Gesel. Wiss. Gottingen, Math.- Phys. Kl. (1930), 30-35. | ||||
| [2] V. I. Kondrachov, Certain properties of functions in the spaces Lp , Dokl. Akad. Nauk. SSSR 48 (1945), 535-538. | ||||
| [1] R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975. |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On the compactness of the non-radial Sobolev space | Journal of Mathematical Analysis and Applications |
| 2023 | |
Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$ | Mathematical Methods in the Applied Sciences |
| 3 | 2022 |
Weighted critical exponents of Sobolev-type embeddings for radial functions | Advanced Nonlinear Studies |
| 2022 | |
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups | Calculus of Variations and Partial Differential Equations |
| 3 | 2021 |
| Instability of standing waves for a class of inhomogeneous Schrödinger equations with harmonic potential | Ricerche di Matematica |
| 1 | 2020 |
Citations Analysis
The category
Science: Mathematics 12
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the existence ofG-symmetric entire solutions for semilinear elliptic equations and was published in 1992. The most recent citation comes from a 2023 study titled On the compactness of the non-radial Sobolev space. This article reached its peak citation in 2022, with 2 citations. It has been cited in 12 different journals, 25% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.