On a class of critical N-Laplacian problems

Author

Tsz Chung Ho, Florida Institute of Technology

Date of Award

12-2021

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematical Sciences

First Advisor

Kanishka Perera

Second Advisor

Gnana Bhaskar Tenali

Third Advisor

Adrian Peter

Fourth Advisor

Ugur G. Abdulla

Abstract

We establish some existence results for a class of critical N-Laplacian problems in a bounded domain in R^N. In the absence of a suitable direct sum decomposition, we use an abstract linking theorem based on the Z₂-cohomological index to obtain a nontrivial critical point.

Recommended Citation

Ho, Tsz Chung, "On a class of critical N-Laplacian problems" (2021). Theses and Dissertations. 944.
https://repository.fit.edu/etd/944