On a class of semipositone problems with singular Trudinger-Moser nonlinearities

Shiqiu Fu; Kanishka Perera

doi:10.3934/dcdss.2020452

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2021, Volume 14, Issue 5: 1747-1756. Doi: 10.3934/dcdss.2020452

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On a class of semipositone problems with singular Trudinger-Moser nonlinearities

Shiqiu Fu and
Kanishka Perera^,

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

^* Corresponding author: Kanishka Perera
^* Corresponding author: Kanishka Perera

Received: November 30, 2019

Revised: March 31, 2020

Early access: November 2020

Published: May 2021

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Abstract

We prove the existence of positive solutions for a class of semipositone problems with singular Trudinger-Moser nonlinearities. The proof is based on compactness and regularity arguments.

Keywords:

Semipositone problems,
singular Trudinger-Moser nonlinearities,
positive solutions.

Mathematics Subject Classification: Primary: 35J20; Secondary: 35B33, 35B09.

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References

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