Abstract
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.
Citation
Gu-Ji Tian. Xu-Jia Wang. "A Class of Sobolev Type Inequalities." Methods Appl. Anal. 15 (2) 263 - 276, June 2008.
Information
Published: June 2008
First available in Project Euclid: 1 September 2009
MathSciNet: MR2481683
zbMATH: 1181.46028
Subjects:
Primary:
35J60
,
45J20
,
46E35
Keywords:
elliptic equation
,
Green function
,
Sobolev inequality
Rights: Copyright © 2008 International Press of Boston
