Generalizations of Troisi’s inequality in weighted p-Sobolev spaces with singularities

Generalizations of Troisi’s inequality in weighted p-Sobolev spaces with singularities

Abstract We extend classical Troisi’s inequality to the weighted p-Sobolev spaces on stretched cone, edge, and corner respectively. The results here can be used to investigate anisotropic elliptic equations involving cone degeneracy, edge degeneracy, and corner degeneracy, which will be studied in o...

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Bibliographic Details
Main Authors: Hua Chen, Yong Luo, Jing Wang
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of Inequalities and Applications
Subjects:
Troisi’s inequality
Weighted p-Sobolev space
Cone singularity
Edge singularity
Corner singularity
Online Access:http://link.springer.com/article/10.1186/s13660-019-2212-6

Internet

http://link.springer.com/article/10.1186/s13660-019-2212-6

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