Remarks on the Hardy inequality.
Edmunds, D.E., Hurri-Syrjänen, R. (1997)
Journal of Inequalities and Applications [electronic only]
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Edmunds, D.E., Hurri-Syrjänen, R. (1997)
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International Journal of Mathematics and Mathematical Sciences
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Arina A. Arkhipova (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.
Charles Fefferman, D. H. Phong (1982)
Journées équations aux dérivées partielles
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