A critical fractional equation with concave–convex power nonlinearities
Article Properties
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DOI (url)
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Publication Date2015/08/01
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Indian UGC (journal)
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Refrences51
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Citations129
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B. Barrios Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, SpainInstituto de Ciencias Matemáticas, (ICMAT–CSIC–UAM–UC3M–UCM), C/Nicolás Cabrera, 15, 28049 Madrid, Spain
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E. Colorado Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés (Madrid), SpainInstituto de Ciencias Matemáticas, (ICMAT–CSIC–UAM–UC3M–UCM), C/Nicolás Cabrera, 15, 28049 Madrid, Spain ORCID (unauthenticated)
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R. Servadei Dipartimento di Matematica e Informatica, Università della Calabria, Ponte Pietro Bucci 31 B, 87036 Arcavacata di Rende (Cosenza), Italy ORCID (unauthenticated)
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F. Soria Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, SpainInstituto de Ciencias Matemáticas, (ICMAT–CSIC–UAM–UC3M–UCM), C/Nicolás Cabrera, 15, 28049 Madrid, Spain
Cite
Barrios, B., et al. “A Critical Fractional Equation With concave–convex Power Nonlinearities”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 32, no. 4, 2015, pp. 875-00, https://doi.org/10.1016/j.anihpc.2014.04.003.
Barrios, B., Colorado, E., Servadei, R., & Soria, F. (2015). A critical fractional equation with concave–convex power nonlinearities. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 32(4), 875-900. https://doi.org/10.1016/j.anihpc.2014.04.003
Barrios, B., E. Colorado, R. Servadei, and F. Soria. “A Critical Fractional Equation With concave–convex Power Nonlinearities”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 32, no. 4 (2015): 875-900. https://doi.org/10.1016/j.anihpc.2014.04.003.
Barrios B, Colorado E, Servadei R, Soria F. A critical fractional equation with concave–convex power nonlinearities. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2015;32(4):875-900.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary | Journal de Mathématiques Pures et Appliquées |
| 436 | 2014 |
| Weak and viscosity solutions of the fractional Laplace equation | Publicacions Matemàtiques |
| 2014 | |
| A critical fractional Laplace equation in the resonant case | Topological Methods in Nonlinear Analysis |
| 2014 | |
| A Brezis-Nirenberg result for non-local critical equations in low dimension | Communications on Pure & Applied Analysis | 131 | 2013 | |
| Nonexistence results for a class of fractional elliptic boundary value problems | Journal of Functional Analysis |
| 93 | 2012 |
Refrences Analysis
The category
Science: Mathematics 16
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Functional Analysis and Journal of Mathematical Analysis and Applications. 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 |
|---|---|---|---|---|
Semiclassical states for fractional Schrödinger equations with critical nonlinearities | Mathematical Methods in the Applied Sciences |
| 2024 | |
| Nehari manifold approach for fractional Kirchhoff problems with extremal value of the parameter | Fractional Calculus and Applied Analysis |
| 2024 | |
| Nonlocal critical growth elliptic problems with jumping nonlinearities | Journal de Mathématiques Pures et Appliquées |
| 1 | 2024 |
| Existence of Solutions for a Fractional p-Kirchhoff Equation with Singular Nonlinearity | Pure Mathematics | 2024 | ||
Existence and non-existence results for a semilinear fractional Neumann problem | Nonlinear Differential Equations and Applications NoDEA |
| 2023 |
Citations Analysis
The category
Science: Mathematics 117
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled H s versus C 0-weighted minimizers and was published in 2014. The most recent citation comes from a 2024 study titled Existence of Solutions for a Fractional p-Kirchhoff Equation with Singular Nonlinearity. This article reached its peak citation in 2016, with 22 citations. It has been cited in 57 different journals, 10% of which are open access. Among related journals, the Fractional Calculus and Applied Analysis cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.