Semilinear elliptic equations involving mixed local and nonlocal operators
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2020/10/14
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Indian UGC (journal)
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Refrences51
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Citations45
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Stefano Biagi
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Eugenio Vecchi
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Serena Dipierro
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Enrico Valdinoci
Abstract
Cite
Biagi, Stefano, et al. “Semilinear Elliptic Equations Involving Mixed Local and Nonlocal Operators”. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 151, no. 5, 2020, pp. 1611-4, https://doi.org/10.1017/prm.2020.75.
Biagi, S., Vecchi, E., Dipierro, S., & Valdinoci, E. (2020). Semilinear elliptic equations involving mixed local and nonlocal operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 151(5), 1611-1641. https://doi.org/10.1017/prm.2020.75
Biagi, Stefano, Eugenio Vecchi, Serena Dipierro, and Enrico Valdinoci. “Semilinear Elliptic Equations Involving Mixed Local and Nonlocal Operators”. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 151, no. 5 (2020): 1611-41. https://doi.org/10.1017/prm.2020.75.
Biagi S, Vecchi E, Dipierro S, Valdinoci E. Semilinear elliptic equations involving mixed local and nonlocal operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2020;151(5):1611-4.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On the strong maximum principle for second-order nonlinear parabolic integro-differential equations | 2012 | |||
| Monotonicity and one-dimensional symmetry for the solutions of Δu + f(u) = 0 in ℝN with possibly discontinuous nonlinearity | 2001 | |||
| Symmetry for solutions of semilinear elliptic equations in ℝN and related conjectures | 1999 | |||
| Some remarks on singular solutions of nonlinear elliptic equations. II. Symmetry and monotonicity via moving planes, Advances in geometric analysis | 2012 | |||
| A first course in Sobolev spaces. Graduate studies in mathematics, 105 | 2009 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities | Calculus of Variations and Partial Differential Equations |
| 1 | 2024 |
| Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities | Journal of Pseudo-Differential Operators and Applications |
| 2024 | |
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators | Fractional Calculus and Applied Analysis |
| 2024 | |
| Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations | Journal of Differential Equations |
| 2024 | |
An existence theory for superposition operators of mixed order subject to jumping nonlinearities | Nonlinearity |
| 2024 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 40 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 23 |
The category
Science: Mathematics 40
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Global Regularity Results for Non-homogeneous Growth Fractional Problems and was published in 2021. The most recent citation comes from a 2024 study titled Symmetrization for Mixed Operators. This article reached its peak citation in 2023, with 16 citations. It has been cited in 33 different journals, 12% of which are open access. Among related journals, the Calculus of Variations and Partial Differential Equations cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.