On a class of semipositone problems with singular Trudinger-Moser nonlinearities
Shiqiu Fu, Kanishka Perera
TL;DR
This paper establishes the existence of positive solutions for a specific class of semipositone problems involving singular Trudinger-Moser nonlinearities, using advanced mathematical techniques.
Contribution
It introduces new existence results for semipositone problems with singular Trudinger-Moser nonlinearities, expanding the understanding of such nonlinear PDEs.
Findings
Existence of positive solutions proven
Utilizes compactness and regularity methods
Addresses singular nonlinearities in PDEs
Abstract
We prove the existence of positive solutions for a class of semipositone problem with singular Trudinger-Moser nonlinearities. The proof is based on compactness and regularity arguments.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Spectral Theory in Mathematical Physics