Geodesic
Superposition of imbeddings and Fefferman's inequality
Bollettino della Unione matematica italiana, Série 8, 2B (1999) no. 3, pp. 629-637.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In questo lavoro si studiano condizioni sufficienti sulla funzione peso $V$, espresse in termini di integrabilità, per la validità della disuguaglianza $$ \left( \int_{B} u^{2}(x) V(x) \, dx \right)^{\frac{1}{2}}\leq c \left(\int_{B} (\nabla u(x))^{2} \, dx \right)^{\frac{1}{2}}, $$ dove $B$ denota una sfera in $\mathbb{R}^{N}$. Usando una tecnica di decomposizione di immersioni si dimostrano condizioni sufficienti in termini di appartenenza a spazi di Lebesgue, Lorentz-Orlicz e/o di tipo debole. Come applicazioni vengono fornite condizioni sufficienti per la proprietà forte di prolungamento unico per $|\Delta u|\leq V|u|$ nelle dimensioni 2 e 3. 
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Krbec, Miroslav; Schott, Thomas. Superposition of imbeddings and Fefferman's inequality. Bollettino della Unione matematica italiana, Série 8, 2B (1999) no. 3, pp. 629-637. http://geodesic.mathdoc.fr/item/BUMI_1999_8_2B_3_a7/

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