Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality

Hideo Kozono, Tokushi Sato, Hidemitsu Wadade

Type: Article

Publication Date: 2006-01-01

Citations: 82

DOI: https://doi.org/10.1512/iumj.2006.55.2743

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Indiana University Mathematics Journal - View

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Works Cited by This (8)

Action	Title	Year	Authors
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+	Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities	2002	Élliott H. Lieb
+	Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem	1991	Takayoshi Ogawa Tohru Ozawa
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti
+	On Critical Cases of Sobolev′s Inequalities	1995	Tohru Ozawa
+ PDF Chat	Symmetric decreasing rearrangement is sometimes continuous	1989	Frederick J. Almgren Élliott H. Lieb
+	A general rearrangement inequality for multiple integrals	1974	H. J. Brascamp Élliott H. Lieb J. M. Luttinger