研究论文
The best sobolev constant
Charles A. Swanson
University of British Columbia
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摘要与影响
摘要 · 完整
For an arbitrary positive integer m, N > 2m, and q = 2N/ (N - 2m), the smallest possible constant is obtained for the Sobolev embedding .Explicit radial functions which attain this constant are demonstrated.
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学术脉络
学科主题
计算机 / AINonlinear Partial Differential Equations
Mathematical Inequalities and Applications · Geometric Analysis and Curvature Flows
参考文献 13
The existence of a non-minimal solution to the SU (2) Yang-Mills-Higgs equations on ?3. Part I
被引 203Clifford Henry Taubes · Communications in Mathematical Physics · 1982
Some remarks on Sobolev inequalities
被引 25Henrik Egnell, Filomena Pacella, Mariarosaria Tricarico · Nonlinear Analysis · 1989
Best constant in Sobolev inequality
被引 2,193Giorgio Talenti · Annali di Matematica Pura ed Applicata (1923 -) · 1976
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引用本文 135
Classification of solutions of higher order conformally invariant equations
被引 394Juncheng Wei, Xingwang Xu · Mathematische Annalen · 1999
Best constants for Sobolev inequalities for higher order fractional derivatives
被引 354Athanase Cotsiolis, Nikolaos K. Tavoularis · Journal of Mathematical Analysis and Applications · 2004
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
被引 317Giampiero Palatucci, Adriano Pisante · Calculus of Variations and Partial Differential Equations · 2013
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