Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity
In: Journal of mathematical analysis and applications, Jg. 367 (2010), Heft 2, S. 685-692
Online
academicJournal
- print, 11 ref
For the 2-dimensional anisotropic Sobolev inequality of the form ∫|u|6dxdy ≤ α(∫ u2xdxdy)2 ∫|D―1xuy|2dxdy, ℝ2 ℝ2 ℝ2 it is proved that the sharp (smallest) positive constant α is exactly as 3(∫ℝ2φ2xdxdy)―2, where φ is a minimal action solution of (uxx + |u|4u)x = D―1xuyy.
Titel: |
Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity
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Autor/in / Beteiligte Person: | JIANQING, CHEN ; ROCHA, Eugénio M |
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Zeitschrift: | Journal of mathematical analysis and applications, Jg. 367 (2010), Heft 2, S. 685-692 |
Veröffentlichung: | Amsterdam: Elsevier, 2010 |
Medientyp: | academicJournal |
Umfang: | print, 11 ref |
ISSN: | 0022-247X (print) |
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