Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (1): 125-132 .doi: https://doi.org/10.1007/s10483-006-0116-1
• Articles • Previous Articles Next Articles
WANG Wan-yi, SUN Jiong, ZHENG Zhi-ming
Received:
Revised:
Online:
Published:
Contact:
Abstract: The weighted Poincaré inequalities in weighted Sobolev spaces are discussed, and the necessary and sufficient conditions for them to hold are given. That is, the Poincaré inequalities hold if, and only if, the ball measure of non-compactness of the natural embedding of weighted Sobolev spaces is less than 1.
Key words: weighted sobolev spaces, Poincaré inequalities, embeddings
2010 MSC Number:
O177
26D15
46E30
46E35
WANG Wan-yi;SUN Jiong;ZHENG Zhi-ming. POINCARÉ INEQUALITIES IN WEIGHTED SOBOLEV SPACES. Applied Mathematics and Mechanics (English Edition), 2006, 27(1): 125-132 .
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-006-0116-1
https://www.amm.shu.edu.cn/EN/Y2006/V27/I1/125