Uniform estimates and limiting arguments for nonlocal minimal surfaces

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Caffarelli, Luis, and Enrico Valdinoci. “Uniform Estimates and Limiting Arguments for Nonlocal Minimal Surfaces”. Calculus of Variations and Partial Differential Equations, vol. 41, no. 1-2, 2010, pp. 203-40, https://doi.org/10.1007/s00526-010-0359-6.
Caffarelli, L., & Valdinoci, E. (2010). Uniform estimates and limiting arguments for nonlocal minimal surfaces. Calculus of Variations and Partial Differential Equations, 41(1-2), 203-240. https://doi.org/10.1007/s00526-010-0359-6
Caffarelli L, Valdinoci E. Uniform estimates and limiting arguments for nonlocal minimal surfaces. Calculus of Variations and Partial Differential Equations. 2010;41(1-2):203-40.
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Title Journal Journal Categories Citations Publication Date
A general rearrangement inequality for multiple integrals Journal of Functional Analysis
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 154 1974
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10.1007/978-1-4684-9486-0
Savin, O., Valdinoci, E.: Γ-convergence for nonlocal phase transitions (preprint)
Massari, U., Miranda, M.: Minimal Surfaces of Codimension One. North-Holland Mathematics Studies, vol. 91, xiii + 243 pp. North-Holland Publishing Co., Amsterdam (1984)
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 2024
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Citations Analysis
Category Category Repetition
Science: Mathematics86
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods52
Science: Physics4
Science: Science (General)3
Technology: Mechanical engineering and machinery3
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics2
Technology: Engineering (General). Civil engineering (General)2
Science: Physics: Heat: Thermodynamics1
Science: Mathematics: Analysis1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software1
Technology: Photography1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
Science: Chemistry1
The category Science: Mathematics 86 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Density Estimates for a Nonlocal Variational Model via the Sobolev Inequality and was published in 2011. The most recent citation comes from a 2024 study titled Brezis–Van Schaftingen–Yung formula in Orlicz spaces. This article reached its peak citation in 2019, with 13 citations. It has been cited in 61 different journals, 11% of which are open access. Among related journals, the Nonlinear Analysis cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
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