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