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Higher order coercive inequalities and Poincare’s constants
File(s)
Author(s)
Wang, Yifu
Type
Thesis
Abstract
In this thesis we discuss three projects: the optimal constant for Poincar´e’s
inequality, the isoperimetric problem for Poincar´e’s constant, and the revised
Adam’s inequality with its applications to Orlicz-Sobolev embeddings.
Version
Open Access
Date Issued
2021-10
Date Awarded
2022-07
URI
DOI
Copyright Statement
Creative Commons Attribution NonCommercial Licence
License URL
Advisor
Zegarlinski, Boguslaw
Laptev, Ari
Publisher Department
Mathematics
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)