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June 2008 A Class of Sobolev Type Inequalities
Gu-Ji Tian, Xu-Jia Wang
Methods Appl. Anal. 15(2): 263-276 (June 2008).


In this paper, we prove that for any strictly convex polynomial, or more generally any strictly convex function satisfying appropriate conditions, there is an associated Sobolev type inequality.


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Gu-Ji Tian. Xu-Jia Wang. "A Class of Sobolev Type Inequalities." Methods Appl. Anal. 15 (2) 263 - 276, June 2008.


Published: June 2008
First available in Project Euclid: 1 September 2009

zbMATH: 1181.46028
MathSciNet: MR2481683

Primary: 35J60 , 45J20 , 46E35

Keywords: elliptic equation , Green function , Sobolev inequality

Rights: Copyright © 2008 International Press of Boston

Vol.15 • No. 2 • June 2008
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