SOBOLEV INEQUALITIES WITH SYMMETRY

Article Properties
  • Language
    English
  • Publication Date
    2009/06/01
  • Indian UGC (journal)
  • Refrences
    15
  • Citations
    7
  • YONGGEUN CHO Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 561-756, Republic of Korea
  • TOHRU OZAWA Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan
Abstract
Cite
CHO, YONGGEUN, and TOHRU OZAWA. “SOBOLEV INEQUALITIES WITH SYMMETRY”. Communications in Contemporary Mathematics, vol. 11, no. 03, 2009, pp. 355-6, https://doi.org/10.1142/s0219199709003399.
CHO, Y., & OZAWA, T. (2009). SOBOLEV INEQUALITIES WITH SYMMETRY. Communications in Contemporary Mathematics, 11(03), 355-365. https://doi.org/10.1142/s0219199709003399
CHO, YONGGEUN, and TOHRU OZAWA. “SOBOLEV INEQUALITIES WITH SYMMETRY”. Communications in Contemporary Mathematics 11, no. 03 (2009): 355-65. https://doi.org/10.1142/s0219199709003399.
CHO Y, OZAWA T. SOBOLEV INEQUALITIES WITH SYMMETRY. Communications in Contemporary Mathematics. 2009;11(03):355-6.
Refrences
Title Journal Journal Categories Citations Publication Date
10.1007/BF00250555
Rotation invariant subspaces of Besov and Triebel-Lizorkin space: compactness of embeddings, smoothness and decay of functions Revista Matemática Iberoamericana
  • Science: Mathematics
  • Science: Mathematics
3 2002
On the (non)compactness of the radial Sobolev spaces Hiroshima Mathematical Journal
  • Science: Mathematics
12 1986
A Treatise on the Theory of Bessel Functions 1995
Special Functions and their Applications 1972
Citations
Title Journal Journal Categories Citations Publication Date
Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity

Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
2 2023
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation

Nonlinearity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
18 2021
Potential well theory for the focusing fractional Choquard equation

Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
3 2020
Well-posedness and scattering of inhomogeneous cubic-quintic NLS

Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
2 2019
Sharp threshold of global well-posedness vs finite time blow-up for a class of inhomogeneous Choquard equations

Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
13 2019
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Strong instability of standing waves for the fractional Choquard equation and was published in 2018. The most recent citation comes from a 2023 study titled Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity. This article reached its peak citation in 2019, with 2 citations. It has been cited in 2 different journals. Among related journals, the Journal of Mathematical Physics cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year