Remainder terms in a higher order Sobolev inequality

被引:0
|
作者
Filippo Gazzola
Tobias Weth
机构
[1] Politecnico di Milano,Dipartimento di Matematica
[2] Goethe-Universität Frankfurt,Institut für Mathematik
来源
Archiv der Mathematik | 2010年 / 95卷
关键词
Primary 46E35; Secondary 26D10; 35J55; Optimal constant; Sobolev embedding;
D O I
暂无
中图分类号
学科分类号
摘要
For higher order Hilbertian Sobolev spaces, we improve the embedding inequality for the critical Lp-space by adding a remainder term with a suitable weak norm.
引用
收藏
页码:381 / 388
页数:7
相关论文
共 50 条
  • [1] Remainder terms in a higher order Sobolev inequality
    Gazzola, Filippo
    Weth, Tobias
    ARCHIV DER MATHEMATIK, 2010, 95 (04) : 381 - 388
  • [2] On a Sobolev inequality with remainder terms
    Lu, GZ
    Wei, JC
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (01) : 75 - 84
  • [3] Remainder Terms in the Fractional Sobolev Inequality
    Chen, Shibing
    Frank, Rupert L.
    Weth, Tobias
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2013, 62 (04) : 1381 - 1397
  • [4] Remainder terms of a nonlocal Sobolev inequality
    Deng, Shengbing
    Tian, Xingliang
    Yang, Minbo
    Zhao, Shunneng
    MATHEMATISCHE NACHRICHTEN, 2024, 297 (05) : 1652 - 1667
  • [5] Critical dimensions and higher order Sobolev inequalities with remainder terms
    Filippo Gazzola
    Hans-Christoph Grunau
    Nonlinear Differential Equations and Applications NoDEA, 2001, 8 : 35 - 44
  • [6] Critical dimensions and higher order Sobolev inequalities with remainder terms
    Gazzola, F
    Grunau, HC
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2001, 8 (01): : 35 - 44
  • [7] On a Sobolev inequality with remainder terms in the Grushin plane
    Yang, Qiaohua
    Su, Dan
    Kong, Yinying
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) : 360 - 368
  • [8] Sharp Sobolev inequalities with lower order remainder terms
    Druet, O
    Hebey, E
    Vaugon, M
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 353 (01) : 269 - 289
  • [9] A twist in sharp Sobolev inequalities with lower order remainder terms
    Hebey, Emmanuel
    ADVANCES IN CALCULUS OF VARIATIONS, 2024, 17 (03) : 605 - 628
  • [10] SOBOLEV INEQUALITIES WITH REMAINDER TERMS
    BREZIS, H
    LIEB, EH
    JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 62 (01) : 73 - 86