Fractional elliptic equations, Caccioppoli estimates and regularity

Article Properties
  • Publication Date
    2016/06/01
  • Indian UGC (journal)
  • Refrences
    37
  • Citations
    120
  • Pablo Raúl Stinga Department of Mathematics, The University of Texas at Austin, 1 University Station, C1200, Austin, TX 78712-1202, United States
  • Luis A. Caffarelli Department of Mathematics, The University of Texas at Austin, 1 University Station, C1200, Austin, TX 78712-1202, United States
Cite
Stinga, Pablo Raúl, and Luis A. Caffarelli. “Fractional Elliptic Equations, Caccioppoli Estimates and Regularity”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 33, no. 3, 2016, pp. 767-0, https://doi.org/10.1016/j.anihpc.2015.01.004.
Stinga, P. R., & Caffarelli, L. A. (2016). Fractional elliptic equations, Caccioppoli estimates and regularity. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 33(3), 767-807. https://doi.org/10.1016/j.anihpc.2015.01.004
Stinga, Pablo Raúl, and Luis A. Caffarelli. “Fractional Elliptic Equations, Caccioppoli Estimates and Regularity”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 33, no. 3 (2016): 767-807. https://doi.org/10.1016/j.anihpc.2015.01.004.
Stinga PR, Caffarelli LA. Fractional elliptic equations, Caccioppoli estimates and regularity. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2016;33(3):767-80.
Refrences
Title Journal Journal Categories Citations Publication Date
Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators Advances in Mathematics
  • Science: Mathematics
143 2015
The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary Journal de Mathématiques Pures et Appliquées
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
436 2014
Harnack's inequality for fractional nonlocal equations Discrete & Continuous Dynamical Systems 19 2013
Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations Communications in Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
178 2011
Positive solutions of nonlinear problems involving the square root of the Laplacian Advances in Mathematics
  • Science: Mathematics
396 2010
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Advances in Mathematics and Bulletin 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
Higher Order Boundary Harnack Principle via Degenerate Equations Archive for Rational Mechanics and Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics
2024
The sparse representation related with fractional heat equations Acta Mathematica Scientia
  • Science: Mathematics
2024
Unique continuation for fractional p-elliptic equations Journal of Pseudo-Differential Operators and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
On the Non-degeneracy of the Robin Function for the Fractional Laplacian on Symmetric Domains Bulletin of the Iranian Mathematical Society
  • Science: Mathematics
2024
On the fractional powers of a Schrödinger operator with a Hardy-type potential

Proceedings of the Edinburgh Mathematical Society
  • Science: Mathematics
2024
Citations Analysis
The category Science: Mathematics 108 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Brezis–Nirenberg problem for fractional elliptic operators and was published in 2016. The most recent citation comes from a 2024 study titled On the fractional powers of a Schrödinger operator with a Hardy-type potential. This article reached its peak citation in 2022, with 21 citations. It has been cited in 74 different journals, 5% of which are open access. Among related journals, the Mathematical Methods in the Applied Sciences cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year