Codice | QDD 33 |
Titolo | Hardy inequalities with optimal constants and remainder terms |
Data | 2008-05-13 |
Autore/i | Gazzola, F. ; Grunau, H.C. ; Mitidieri, E. |
Link | Download full text | Pubblicato | Trans. Amer. Math. Soc., 356 (2004), n. 6, 2149-2168 |
Abstract | We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces $W_0^{1,p}$ and in higher-order Sobolev spaces on a bounded domain $ Omega subset mathbb{R}^n$ can be refined by adding remainder terms which involve $L^p$ norms. In the higher-order case further $L^p$ norms with lower-order singular weights arise. The case $1 |
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