Definition of fractional Laplacian for functions with polynomial growth

Article Properties
  • DOI (url)
  • Publication Date
    2019/05/22
  • Indian UGC (journal)
  • Citations
    14
  • Serena Dipierro University of Western Australia, Crawley, Australia
  • Ovidiu Savin Columbia University, New York, USA
  • Enrico Valdinoci University of Western Australia, Crawley, Australia
Cite
Dipierro, Serena, et al. “Definition of Fractional Laplacian for Functions With Polynomial Growth”. Revista Matemática Iberoamericana, vol. 35, no. 4, 2019, pp. 1079-22, https://doi.org/10.4171/rmi/1079.
Dipierro, S., Savin, O., & Valdinoci, E. (2019). Definition of fractional Laplacian for functions with polynomial growth. Revista Matemática Iberoamericana, 35(4), 1079-1122. https://doi.org/10.4171/rmi/1079
Dipierro S, Savin O, Valdinoci E. Definition of fractional Laplacian for functions with polynomial growth. Revista Matemática Iberoamericana. 2019;35(4):1079-122.
Citations
Title Journal Journal Categories Citations Publication Date
Symmetry and quantitative stability for the parallel surface fractional torsion problem

Transactions of the American Mathematical Society
  • Science: Mathematics
5 2023
Integral operators defined “up to a polynomial” Fractional Calculus and Applied Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
2022
Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations Advances in Mathematics
  • Science: Mathematics
4 2022
Non-symmetric stable operators: Regularity theory and integration by parts Advances in Mathematics
  • Science: Mathematics
10 2022
Global Schauder theory for minimizers of the H(Ω) energy Journal of Functional Analysis
  • Science: Mathematics
1 2022
Citations Analysis
The category Science: Mathematics 13 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Regularity results for nonlocal equations and applications and was published in 2020. The most recent citation comes from a 2023 study titled Symmetry and quantitative stability for the parallel surface fractional torsion problem. This article reached its peak citation in 2022, with 5 citations. It has been cited in 10 different journals. Among related journals, the Advances in Mathematics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year