Displaying similar documents to “Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials.”

Multidimensional Opial inequalities for functions vanishing at an interior point

George A. Anastassiou, Gisèle Ruiz Goldstein, Jerome A. Goldstein (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this paper we generalize Opial inequalities in the multidimensional case over balls. The inequalities carry weights and are proved to be sharp. The functions under consideration vanish at the center of the ball.