Super-critical boundary bubbling in a semilinear Neumann problem

Article Properties
  • Publication Date
    2005/02/01
  • Indian UGC (journal)
  • Refrences
    34
  • Citations
    37
  • Manuel del Pino Departamento de Ingeniería Matemática and CMM, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
  • Monica Musso Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24-10129 Torino, Italy
  • Angela Pistoia Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universitá di Roma a Sapienza, Via Scarpa 16, 00161 Roma, Italy
Cite
del Pino, Manuel, et al. “Super-Critical Boundary Bubbling in a Semilinear Neumann Problem”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 22, no. 1, 2005, pp. 45-82, https://doi.org/10.1016/j.anihpc.2004.05.001.
del Pino, M., Musso, M., & Pistoia, A. (2005). Super-critical boundary bubbling in a semilinear Neumann problem. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 22(1), 45-82. https://doi.org/10.1016/j.anihpc.2004.05.001
del Pino M, Musso M, Pistoia A. Super-critical boundary bubbling in a semilinear Neumann problem. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2005;22(1):45-82.
Refrences
Title Journal Journal Categories Citations Publication Date
“Bubble-tower” radial solutions in the slightly supercritical Brezis–Nirenberg problem Journal of Differential Equations
  • Science: Mathematics
2003
Two-bubble solutions in the super-critical Bahri-Coron's problem Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
147 2003
The effect of geometry of the domain boundary in an elliptic Neumann problem Advances in Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
3 2001
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2000
Multipeak solutions for a singularly perturbed Neumann problem Pacific Journal of Mathematics
  • Science: Mathematics
81 1999
Refrences Analysis
The category Science: Mathematics 25 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Differential Equations 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
Sign-changing bubble tower solutions for a Paneitz-type problem

Nonlinearity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
2024
Interior Multi-Peak Solutions for a Slightly Subcritical Nonlinear Neumann Equation

Symmetry
  • Science: Mathematics
  • Science: Science (General)
2024
On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions Mathematische Annalen
  • Science: Mathematics
1 2023
Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Existence of Solutions to a Slightly Supercritical Pure Neumann Problem SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 36 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 Sign-changing bubble tower solutions for a Paneitz-type problem. This article reached its peak citation in 2023, with 4 citations. It has been cited in 22 different journals, 13% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year