Elliptic Harnack inequalities for symmetric non-local Dirichlet forms

Article Properties
Cite
Chen, Zhen-Qing, et al. “Elliptic Harnack Inequalities for Symmetric Non-Local Dirichlet Forms”. Journal De Mathématiques Pures Et Appliquées, vol. 125, 2019, pp. 1-42, https://doi.org/10.1016/j.matpur.2017.10.011.
Chen, Z.-Q., Kumagai, T., & Wang, J. (2019). Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. Journal De Mathématiques Pures Et Appliquées, 125, 1-42. https://doi.org/10.1016/j.matpur.2017.10.011
Chen, Zhen-Qing, Takashi Kumagai, and Jian Wang. “Elliptic Harnack Inequalities for Symmetric Non-Local Dirichlet Forms”. Journal De Mathématiques Pures Et Appliquées 125 (2019): 1-42. https://doi.org/10.1016/j.matpur.2017.10.011.
Chen ZQ, Kumagai T, Wang J. Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. Journal de Mathématiques Pures et Appliquées. 2019;125:1-42.
Refrences
Title Journal Journal Categories Citations Publication Date
Intrinsic Hölder Continuity of Harmonic Functions Potential Analysis
  • Science: Mathematics
3 2017
Intrinsic scaling properties for nonlocal operators Journal of the European Mathematical Society
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
6 2017
Scaling invariant Harnack inequalities in a general setting Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2016
Local behavior of fractional p-minimizers Annales de l'Institut Henri Poincaré C, Analyse non linéaire
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
179 2016
Nonlocal Harnack inequalities Journal of Functional Analysis
  • Science: Mathematics
132 2014
Refrences Analysis
The category Science: Mathematics 19 is the most frequently represented among the references in this article. It primarily includes studies from Potential Analysis and Journal of the European 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
Harnack inequality and interior regularity for Markov processes with degenerate jump kernels Journal of Differential Equations
  • Science: Mathematics
2023
Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions Journal of Differential Equations
  • Science: Mathematics
2023
Regularity estimates for fractional orthotropic p-Laplacians of mixed order

Advances in Nonlinear Analysis
  • Science: Mathematics: Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
9 2022
Stability of heat kernel estimates for symmetric non-local Dirichlet forms

Memoirs of the American Mathematical Society
  • Science: Mathematics
8 2021
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms Advances in Mathematics
  • Science: Mathematics
9 2020
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Nonlocal operators with singular anisotropic kernels and was published in 2019. The most recent citation comes from a 2023 study titled Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions. This article reached its peak citation in 2020, with 3 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year