Moser-Trudinger And Adams Type Inequalities And Their Applications

<p>In this dissertation, we study some variants of the Moser-Trudinger inequalities and Adams inequalities. The proofs of these inequalities relied crucially on the symmetrization arguments in the literature. By proposing new arguments and approaches, we develop successfully the critical versions of these well-known inequalities in many different settings where the rearrangement arguments may not be existed. As applications of our results, we also study in this dissertation the elliptic equations that contain the exponential nonlinearities.</p>

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Open Access Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2014

Author dc:creator

• Lam, Nguyen

Contributors dc:contributor

• Guozhen Lu

• Mathematics

Repository record dc:identifier

https://digitalcommons.wayne.edu/oa_dissertations/1016

OAI identifier oai:identifier

oai:digitalcommons.wayne.edu:oa_dissertations-2015