Extremal maps in Sobolev type inequalities: Some remarks

被引：2

作者：

Barbosa, Ezequiel R. ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2010年 / 134卷 / 02期

关键词：

Extremal functions; Optimal Sobolev type inequalities; SCALAR CURVATURE; CONSTANTS; ORDER;

D O I：

10.1016/j.bulsci.2008.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we make some observations on the existence of extremal maps for sharp L-2-Riemannian Sobolev type inequalities as Nash and logarithmic Sobolev ones. Among other results, we prove also that there exist smooth compact Riemannian manifolds with scalar curvature changing signal on which there exist extremal maps. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：127 / 143

页数：17

共 50 条

[1] SOME REMARKS ON SOBOLEV TYPE INEQUALITIES
ADIMURTHI
YADAVA, SL
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1994, 2 (04) : 427 - 442
[2] SOME REMARKS ON SOBOLEV INEQUALITIES
EGNELL, H
PACELLA, F
TRICARICO, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (06) : 671 - 681
[3] Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal
Prashanta Garain
[J]. Journal of Mathematical Sciences, 2024, 281 (5) : 633 - 645
[4] Remarks on inequalities of Hardy-Sobolev Type
Ying-Xiong Xiao
[J]. Journal of Inequalities and Applications, 2011
[5] Remarks on inequalities of Hardy-Sobolev Type
Xiao, Ying-Xiong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[6] Extremal functions for the anisotropic Sobolev inequalities
El Hamidi, A.
Rakotoson, J. M.
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (05): : 741 - 756
[7] Isoperimetric Inequalities for Extremal Sobolev Functions
Ratzkin, Jesse
Carroll, Tom
[J]. Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations, 2015, : 67 - 71
[8] REMARKS ON SOBOLEV IMBEDDING INEQUALITIES
BOJARSKI, B
[J]. LECTURE NOTES IN MATHEMATICS, 1988, 1351 : 52 - 68
[9] REMARKS ON SOME WENDROFF TYPE INEQUALITIES
Andras, Szilard
Meszaros, Alpar
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (03): : 401 - 411
[10] Some remarks on energy inequalities for harmonic maps with potential
Branding, Volker
[J]. ARCHIV DER MATHEMATIK, 2017, 109 (02) : 151 - 165

← 1 2 3 4 5 →