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On a class of Kirchhoff type problems with singular exponential nonlinearity.

Authors :
Sattaf, Mebarka
Khaldi, Brahim
Source :
Tamkang Journal of Mathematics; 2024, Vol. 55 Issue 2, p97-111, 15p
Publication Year :
2024

Abstract

We study the following singular Kirchhoff type problem ... where Ω ⊂ R² is a bounded domain with smooth boundary and 0 ∈, β ∈ (0,2), α > 0 and m is a continuous function on R<superscript>+</superscript>. Here, h is a suitable preturbation of ᵉ<superscript>au2</superscript> as u → ∞. In this paper, we prove the existence of solutions of (P). Our tools are Trudinger-Moser inequality with a singular weight and the mountain pass theorem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00492930
Volume :
55
Issue :
2
Database :
Complementary Index
Journal :
Tamkang Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
178889940
Full Text :
https://doi.org/10.5556/j.tkjm.55.2024.5097