Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups
- Author
- Aidyn Kassymov (UGent) , Michael Ruzhansky (UGent) and Durvudkhan Suragan
- Organization
- Project
- Abstract
- In this paper, we prove the fractional logarithmic Sobolev inequality on homogeneous groups. Also, we establish fractional logarithmic Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. In addition, we show blow-up results for the fractional heat equation with logarithmic nonlinearity on homogeneous groups.
- Keywords
- Fractional logarithmic Sobolev inequality, Fractional logarithmic Gagliardo-Nirenberg inequality, Fractional logarithmic Caffarelli-Kohn-Nirenberg inequality, Blow-up, Homogeneous group, CAFFARELLI-KOHN-NIRENBERG, HARDY-LITTLEWOOD, SOBOLEV, RELLICH
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8640177
- MLA
- Kassymov, Aidyn, et al. “Fractional Logarithmic Inequalities and Blow-up Results with Logarithmic Nonlinearity on Homogeneous Groups.” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, vol. 27, no. 1, 2020, doi:10.1007/s00030-019-0610-6.
- APA
- Kassymov, A., Ruzhansky, M., & Suragan, D. (2020). Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 27(1). https://doi.org/10.1007/s00030-019-0610-6
- Chicago author-date
- Kassymov, Aidyn, Michael Ruzhansky, and Durvudkhan Suragan. 2020. “Fractional Logarithmic Inequalities and Blow-up Results with Logarithmic Nonlinearity on Homogeneous Groups.” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 27 (1). https://doi.org/10.1007/s00030-019-0610-6.
- Chicago author-date (all authors)
- Kassymov, Aidyn, Michael Ruzhansky, and Durvudkhan Suragan. 2020. “Fractional Logarithmic Inequalities and Blow-up Results with Logarithmic Nonlinearity on Homogeneous Groups.” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 27 (1). doi:10.1007/s00030-019-0610-6.
- Vancouver
- 1.Kassymov A, Ruzhansky M, Suragan D. Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. 2020;27(1).
- IEEE
- [1]A. Kassymov, M. Ruzhansky, and D. Suragan, “Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups,” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, vol. 27, no. 1, 2020.
@article{8640177,
abstract = {{In this paper, we prove the fractional logarithmic Sobolev inequality on homogeneous groups. Also, we establish fractional logarithmic Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. In addition, we show blow-up results for the fractional heat equation with logarithmic nonlinearity on homogeneous groups.}},
articleno = {{7}},
author = {{Kassymov, Aidyn and Ruzhansky, Michael and Suragan, Durvudkhan}},
issn = {{1021-9722}},
journal = {{NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS}},
keywords = {{Fractional logarithmic Sobolev inequality,Fractional logarithmic Gagliardo-Nirenberg inequality,Fractional logarithmic Caffarelli-Kohn-Nirenberg inequality,Blow-up,Homogeneous group,CAFFARELLI-KOHN-NIRENBERG,HARDY-LITTLEWOOD,SOBOLEV,RELLICH}},
language = {{eng}},
number = {{1}},
pages = {{19}},
title = {{Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups}},
url = {{http://doi.org/10.1007/s00030-019-0610-6}},
volume = {{27}},
year = {{2020}},
}
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