An Extension Problem Related to the Fractional Laplacian
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2007/08/08
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Indian UGC (journal)
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Refrences10
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Citations1,670
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Luis Caffarelli
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Luis Silvestre
Cite
Caffarelli, Luis, and Luis Silvestre. “An Extension Problem Related to the Fractional Laplacian”. Communications in Partial Differential Equations, vol. 32, no. 8, 2007, pp. 1245-60, https://doi.org/10.1080/03605300600987306.
Caffarelli, L., & Silvestre, L. (2007). An Extension Problem Related to the Fractional Laplacian. Communications in Partial Differential Equations, 32(8), 1245-1260. https://doi.org/10.1080/03605300600987306
Caffarelli, Luis, and Luis Silvestre. “An Extension Problem Related to the Fractional Laplacian”. Communications in Partial Differential Equations 32, no. 8 (2007): 1245-60. https://doi.org/10.1080/03605300600987306.
Caffarelli L, Silvestre L. An Extension Problem Related to the Fractional Laplacian. Communications in Partial Differential Equations. 2007;32(8):1245-60.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The boundary Harnack principle for the fractional Laplacian | Studia Mathematica |
| 120 | 1997 |
| The Wiener test for degenerate elliptic equations | Annales de l’institut Fourier |
| 96 | 1982 |
| 10.1007/978-3-642-65183-0 | 1972 | |||
| Almgren's Big Regularity Paper | 2000 | |||
| A Regularity Theorem for a Singular Elliptic Equation | Applicable Analysis |
| 3 | 1983 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Existence of normalized solutions for fractional Kirchhoff–Schrödinger–Poisson equations with general nonlinearities | Mathematical Methods in the Applied Sciences |
| 2024 | |
Qualitative properties of solutions for dual parabolic equation involving uniformly elliptic nonlocal operator | Mathematical Methods in the Applied Sciences |
| 2024 | |
Sign‐changing solutions of fractional Laplacian system with critical exponent | Mathematical Methods in the Applied Sciences |
| 2024 | |
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces | Journal of Evolution Equations |
| 2024 | |
| Unified results for existence and compactness in the prescribed fractional Q-curvature problem | Nonlinear Differential Equations and Applications NoDEA |
| 2024 |
Citations Analysis
The category
Science: Mathematics 1,509
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian and was published in 2007. The most recent citation comes from a 2024 study titled A fractional Hopf Lemma for sign-changing solutions. This article reached its peak citation in 2021, with 200 citations. It has been cited in 271 different journals, 11% of which are open access. Among related journals, the Nonlinear Analysis cited this research the most, with 88 citations. The chart below illustrates the annual citation trends for this article.