The Brezis–Nirenberg problem near criticality in dimension 3
Article Properties
-
LanguageEnglish
-
DOI (url)
-
Publication Date2004/12/01
-
Indian UGC (journal)
-
Refrences25
-
Citations28
-
Manuel del Pino
-
Jean Dolbeault
-
Monica Musso
Cite
del Pino, Manuel, et al. “The Brezis–Nirenberg Problem Near Criticality in Dimension 3”. Journal De Mathématiques Pures Et Appliquées, vol. 83, no. 12, 2004, pp. 1405-56, https://doi.org/10.1016/j.matpur.2004.02.007.
del Pino, M., Dolbeault, J., & Musso, M. (2004). The Brezis–Nirenberg problem near criticality in dimension 3. Journal De Mathématiques Pures Et Appliquées, 83(12), 1405-1456. https://doi.org/10.1016/j.matpur.2004.02.007
del Pino M, Dolbeault J, Musso M. The Brezis–Nirenberg problem near criticality in dimension 3. Journal de Mathématiques Pures et Appliquées. 2004;83(12):1405-56.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
- The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.
- The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2
- Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p-Laplacian in $${\mathbb {R}}^N$$ R N
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| “Bubble-tower” radial solutions in the slightly supercritical Brezis–Nirenberg problem | Journal of Differential Equations |
| 2003 | |
| Two-bubble solutions in the super-critical Bahri-Coron's problem | Calculus of Variations and Partial Differential Equations |
| 147 | 2003 |
| The question of interior blow-up-points for an elliptic Neumann problem: The critical case | Journal de Mathématiques Pures et Appliquées |
| 2002 | |
| Elliptic equations with critical Sobolev exponents in dimension 3 | 2002 | |||
| Blowing up with infinite energy of conformal metrics on Sn | Communications in Partial Differential Equations |
| 24 | 1999 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 18 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 9 |
The category
Science: Mathematics 18
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Functional Analysis and Communications on Pure and Applied Mathematics. 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 |
|---|---|---|---|---|
Nodal cluster solutions for the Brezis–Nirenberg problem in dimensions $$N\ge 7$$ | Calculus of Variations and Partial Differential Equations |
| 2024 | |
Sign-changing bubble tower solutions for a Paneitz-type problem | Nonlinearity |
| 2024 | |
Local uniqueness of blow-up solutions for critical Hartree equations in bounded domain | Calculus of Variations and Partial Differential Equations |
| 2023 | |
| Non-degeneracy of the multi-bump solutions to the Brezis-Nirenberg problem | Annali di Matematica Pura ed Applicata (1923 -) |
| 2023 | |
Positive solutions of the Gross–Pitaevskii equation for energy critical and supercritical nonlinearities | Nonlinearity |
| 1 | 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 28 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 22 |
The category
Science: Mathematics 28
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains☆☆The first author is supported by Fondecyt 1040936 (Chile). The second author is supported by the M.I.U.R. National Project “Metodi variazionali e topologici nello studio di fenomeni non lineari”. and was published in 2006. The most recent citation comes from a 2024 study titled Nodal cluster solutions for the Brezis–Nirenberg problem in dimensions $$N\ge 7$$. This article reached its peak citation in 2007, with 4 citations. It has been cited in 13 different journals, 7% of which are open access. Among related journals, the Calculus of Variations and Partial Differential Equations cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.