Date of Award

5-2020

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematical Sciences

First Advisor

Kanishka Perera

Second Advisor

Adrian Peter

Third Advisor

Jian Du

Fourth Advisor

Ugur Abdulla

Abstract

In this dissertation, we prove the existence of solutions for two classes of eliptic problems that are critical with respect to singular Trudinger-Moser embedding. The proofs are based on compactness and regularity arguments.

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