Extremals for sharp GNS inequalities on compact manifolds

Emerson Abreu, Jurandir Ceccon, Marcos Montenegro

Type: Article

Publication Date: 2014-05-19

Citations: 5

DOI: https://doi.org/10.1007/s10231-014-0426-2

View Publication

Download PDF

Locations

Annali di Matematica Pura ed Applicata (1923 -) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Sharp constants in Riemannian<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-Gagliardo–Nirenberg inequalities	2015	Jurandir Ceccon Carlos Durán
+	On the compactness problem of extremal functions to sharp Riemannian <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>-Sobolev inequalities	2010	Ezequiel Barbosa Marcos Montenegro
+ PDF Chat	Asymptotics for sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds	2002	Olivier Druet Emmanuel Hebey
+ PDF Chat	Sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds	2001	Emmanuel Hebey
+	Extremal functions for Sobolev inequalities on compact manifolds	2001	Zindine Djadli Olivier Druet
+	Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds	2005	Yuxiang Li
+	Sharp $L^p$-Moser inequality on Riemannian manifolds	2014	Marcos Teixeira Alves Jurandir Ceccon
+	Sharp $L^p$-Moser inequality on Riemannian manifolds	2014	Marcos Teixeira Alves Jurandir Ceccon
+	Sharp L^p-entropy inequalities on manifolds	2013	Jurandir Ceccon Marcos Montenegro
+ PDF Chat	Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds	2007	Yuxiang Li Cheikh Birahim Ndiaye
+	A note on extremal functions for sharp Sobolev inequalities	2007	Marcos Montenegro Ezequiel Barbosa
+	Extremal functions for optimal Sobolev inequalities on compact manifolds	2001	Zindine Djadli Olivier Druet
+ PDF Chat	Extremal functions for Trudinger–Moser inequalities with nonnegative weights	2018	Songbo Hou
+	Sharp <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-entropy inequalities on manifolds	2015	Jurandir Ceccon Marcos Montenegro
+	Extremals for Sobolev and Moser Inequalities in Hyperbolic Space	2011	Gianni Mancini Kunnath Sandeep
+	Topological rigidity of compact manifolds supporting Sobolev-type inequalities	2019	Csaba Farkas Alexandru Kristály Ágnes Mester
+	Topological rigidity of compact manifolds supporting Sobolev-type inequalities	2019	Csaba Farkas Alexandru Kristály Ágnes Mester
+	The extremal problem for Sobolev inequalities with upper order remainder terms	2023	Patricia Cunha F.B. Lemos
+	Optimal constants in the exceptional case of Sobolev inequalities on Riemannian manifolds	2007	Zoé Faget
+	A generalized Trudinger-Moser inequality on a compact Riemannian surface	2016	Xiaobao Zhu

Works That Cite This (5)

Action	Title	Year	Authors
+	A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation	2019	Марек Фила Michael Winkler
+	A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation	2017	Марек Фила Michael Winkler
+ PDF Chat	A Gagliardo–Nirenberg Type Inequality for Rapidly Decaying Functions	2020	Марек Фила Johannes Lankeit
+	A Gagliardo-Nirenberg type inequality for rapidly decaying functions	2019	Марек Фила Johannes Lankeit
+ PDF Chat	On nonlinear damped wave equations for positive operators. I. Discrete spectrum	2019	Michael Ruzhansky Niyaz Tokmagambetov

Works Cited by This (31)

Action	Title	Year	Authors
+	On Elliptic Partial Differential Equations	2011	Louis Nirenberg
+ PDF Chat	Problèmes isopérimétriques et espaces de Sobolev	1976	Thierry Aubin
+	Best constants in the <i>L</i><sup>2</sup>-Nash inequality	2001	Emmanuel Humbert
+	Optimal improved -Riemannian Gagliardo–Nirenberg inequalities	2009	Xiaomei Sun Wenyi Chen
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf
+	A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities	2003	D. Cordero-Erausquin Bruno Nazaret Cédric Villani
+	Symétrie et compacité dans les espaces de Sobolev	1982	Pierre‐Louis Lions
+	Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions	2002	Manuel del Pino Jean Dolbeault
+ PDF Chat	Optimal L p -Riemannian Gagliardo–Nirenberg inequalities	2007	Jurandir Ceccon Marcos Montenegro
+	Optimal Sobolev Inequalities of Arbitrary Order on Compact Riemannian Manifolds	1998	Olivier Druet