An interpolation of Hardy inequality and Moser–Trudinger inequality on Riemannian manifolds with negative curvature

Author:

Dong Yan Qing,Yang Qiao Hua

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference29 articles.

1. Adams, D. R.: A sharp inequality of J. Moser for higher order derivatives. Ann. of Math., 128, 385–398 (1988)

2. Adimurthi, Yang, Y.: An interpolation of Hardy inequality and Trudinger–Moser inequality in Rn and its applications. Int. Math. Res. Not., 13, 2394–2426 (2010)

3. Aubin, T.: Sur la function exponentielle. C. R. Math. Acad. Sci. Paris, 270, 1514 (1970)

4. Beckner, W.: Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality. Ann. of Math., 138, 213–242 (1993)

5. Carron, G.: Inégalités de Hardy sur les variétés riemanniennes non-compactes. J. Math. Pures Appl., 76, 883–891 (1997)

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