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Anisotropic Gagliardo–Nirenberg inequality with fractional derivatives
- Source :
- Zeitschrift für angewandte Mathematik und Physik. 66:3345-3356
- Publication Year :
- 2015
- Publisher :
- Springer Science and Business Media LLC, 2015.
-
Abstract
- Studied here is anisotropic Gagliardo–Nirenberg inequality in n-dimensional case. A fractional version of this inequality will be proved. Its sharp constant is also elicited in terms of the ground states of the associated nonlocal equation.
- Subjects :
- Inequality
Applied Mathematics
General Mathematics
media_common.quotation_subject
Mathematical analysis
Mathematics::Analysis of PDEs
General Physics and Astronomy
Fractional calculus
Gagliardo–Nirenberg interpolation inequality
Anisotropy
Constant (mathematics)
Nirenberg and Matthaei experiment
Mathematics
media_common
Subjects
Details
- ISSN :
- 14209039 and 00442275
- Volume :
- 66
- Database :
- OpenAIRE
- Journal :
- Zeitschrift für angewandte Mathematik und Physik
- Accession number :
- edsair.doi...........9bedecde7374c5b2460e41803c0cc2a4
- Full Text :
- https://doi.org/10.1007/s00033-015-0586-y