Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2019/10/17
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Indian UGC (journal)
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Refrences43
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Citations16
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Sara Bordoni
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Roberta Filippucci
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Patrizia Pucci ORCID (unauthenticated)
Cite
Bordoni, Sara, et al. “Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms”. The Journal of Geometric Analysis, vol. 30, no. 2, 2019, pp. 1887-1, https://doi.org/10.1007/s12220-019-00295-z.
Bordoni, S., Filippucci, R., & Pucci, P. (2019). Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms. The Journal of Geometric Analysis, 30(2), 1887-1917. https://doi.org/10.1007/s12220-019-00295-z
Bordoni, Sara, Roberta Filippucci, and Patrizia Pucci. “Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms”. The Journal of Geometric Analysis 30, no. 2 (2019): 1887-1917. https://doi.org/10.1007/s12220-019-00295-z.
Bordoni S, Filippucci R, Pucci P. Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms. The Journal of Geometric Analysis. 2019;30(2):1887-91.
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Yamabe-Type Equations on Carnot Groups | Potential Analysis |
| 16 | 2017 |
Kirchhoff–Hardy Fractional Problems with Lack of Compactness | Advanced Nonlinear Studies |
| 67 | 2017 |
| Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations | Annali di Matematica Pura ed Applicata (1923 -) |
| 101 | 2016 |
| Nonlocal problems at nearly critical growth | Nonlinear Analysis |
| 52 | 2016 |
| Critical growth problems with singular nonlinearities on Carnot groups | Nonlinear Analysis |
| 17 | 2015 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 14 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 7 |
The category
Science: Mathematics 14
is the most frequently represented among the references in this article. It primarily includes studies from Nonlinear Analysis 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 |
|---|---|---|---|---|
Existence of infinitely many solutions for critical sub-elliptic systems via genus theory | Communications in Analysis and Mechanics | 2024 | ||
Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups | Mathematische Annalen |
| 1 | 2023 |
| Nontrivial Solutions for a (p, q)-Type Critical Choquard Equation on the Heisenberg Group | Bulletin of the Malaysian Mathematical Sciences Society |
| 2023 | |
On the existence of nonnegative radial solutions for Dirichlet exterior problems on the Heisenberg group | Demonstratio Mathematica |
| 1 | 2023 |
On criticality coupled sub-Laplacian systems with Hardy type potentials on Stratified Lie groups | Communications in Analysis and Mechanics | 4 | 2023 |
Citations Analysis
The category
Science: Mathematics 12
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group and was published in 2020. The most recent citation comes from a 2024 study titled Existence of infinitely many solutions for critical sub-elliptic systems via genus theory. This article reached its peak citation in 2022, with 8 citations. It has been cited in 13 different journals, 30% of which are open access. Among related journals, the Communications in Analysis and Mechanics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.