Critical functions and optimal Sobolev inequalities

Mathematische Zeitschrift ◽

10.1007/s00209-004-0708-2 ◽

2004 ◽

Vol 249 (3) ◽

pp. 485-492 ◽

Author(s):

Fr�d�ric Robert

Keyword(s):

Sobolev Inequalities ◽

Optimal Sobolev Inequalities

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Optimal Sobolev inequalities and extremal functions. The three dimensional case

Indiana University Mathematics Journal ◽

10.1512/iumj.2002.51.2111 ◽

2002 ◽

Vol 51 (1) ◽

pp. 69-88 ◽

Author(s):

Olivier Druet

Keyword(s):

Three Dimensional ◽

Dimensional Case ◽

Sobolev Inequalities ◽

Extremal Functions ◽

Optimal Sobolev Inequalities

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Optimal Sobolev Inequalities of Arbitrary Order on Compact Riemannian Manifolds

Journal of Functional Analysis ◽

10.1006/jfan.1998.3264 ◽

1998 ◽

Vol 159 (1) ◽

pp. 217-242 ◽

Author(s):

Olivier Druet

Keyword(s):

Riemannian Manifolds ◽

Arbitrary Order ◽

Sobolev Inequalities ◽

Optimal Sobolev Inequalities

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General class of optimal Sobolev inequalities and nonlinear scalar field equations

Journal of Differential Equations ◽

10.1016/j.jde.2021.02.015 ◽

2021 ◽

Vol 281 ◽

pp. 411-441

Author(s):

Jarosław Mederski

Keyword(s):

Scalar Field ◽

General Class ◽

Sobolev Inequalities ◽

Field Equations ◽

Nonlinear Scalar Field ◽

Optimal Sobolev Inequalities ◽

Scalar Field Equations

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Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius

American Journal of Mathematics ◽

10.1353/ajm.1996.0014 ◽

1996 ◽

Vol 118 (2) ◽

pp. 291-300 ◽

Author(s):

Emmanuel Hebey

Keyword(s):

Ricci Curvature ◽

Riemannian Manifolds ◽

Injectivity Radius ◽

Sobolev Inequalities ◽

Optimal Sobolev Inequalities ◽

Bounded Below ◽

Complete Riemannian Manifolds

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Extremal functions for optimal Sobolev inequalities on compact manifolds

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260000044 ◽

2001 ◽

Vol 12 (1) ◽

pp. 59-84 ◽

Author(s):

Zindine Djadli ◽

Olivier Druet

Keyword(s):

Compact Manifolds ◽

Sobolev Inequalities ◽

Extremal Functions ◽

Optimal Sobolev Inequalities

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Sobolev inequalities with jointly concave weights on convex cones

Proceedings of the London Mathematical Society ◽

10.1112/plms.12384 ◽

2020 ◽

Author(s):

Zoltán M. Balogh ◽

Cristian E. Gutiérrez ◽

Alexandru Kristály

Keyword(s):

Convex Cones ◽

Sobolev Inequalities

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Sobolev Inequalities for Functions on Graphs

Journal of Physics Conference Series ◽

10.1088/1742-6596/1804/1/012132 ◽

2021 ◽

Vol 1804 (1) ◽

pp. 012132

Author(s):

Eman Samir Bhaya ◽

Zainab Flaih

Keyword(s):

Sobolev Inequalities

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Two types of discrete Sobolev inequalities on a weighted Toeplitz graph

Linear Algebra and its Applications ◽

10.1016/j.laa.2016.06.029 ◽

2016 ◽

Vol 507 ◽

pp. 344-355 ◽

Author(s):

Kazuo Takemura ◽

Atsushi Nagai ◽

Yoshinori Kametaka

Keyword(s):

Sobolev Inequalities

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Sharp trace Hardy–Sobolev inequalities and fractional Hardy–Sobolev inequalities

Journal of Functional Analysis ◽

10.1016/j.jfa.2015.11.016 ◽

2016 ◽

Vol 270 (12) ◽

pp. 4513-4539 ◽

Author(s):

Konstantinos Tzirakis

Keyword(s):

Sobolev Inequalities

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Sharp Sobolev inequalities for vector valued maps

Mathematische Zeitschrift ◽

10.1007/s00209-005-0928-0 ◽

2006 ◽

Vol 253 (4) ◽

pp. 681-708 ◽

Author(s):

Emmanuel Hebey

Keyword(s):

Sobolev Inequalities ◽

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