Normalized Solutions for Two Classes of Kirchhoff Problems with Exponential Critical Growth

In this paper, we are devoted to studying two classes of non-autonomous Kirchhoff problems with the potential term. To be precise, we assume the potential term satisfies different assumptions and the nonlinearity enjoys exponential critical growth. Based on the Trudinger–Moser inequality, we derive...

Full description

Saved in:

Bibliographic Details
Published in:	Bulletin of the Malaysian Mathematical Sciences Society Vol. 47; no. 1
Main Authors:	Gao, Liu, Tan, Zhong
Format:	Journal Article
Language:	English
Published:	Singapore Springer Nature Singapore 2024 Springer Nature B.V
Subjects:	Applications of Mathematics Mathematics Mathematics and Statistics 35J20 Kirchhoff problem 35J60 Exponential critical growth Potential Existence Normalized solutions
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In this paper, we are devoted to studying two classes of non-autonomous Kirchhoff problems with the potential term. To be precise, we assume the potential term satisfies different assumptions and the nonlinearity enjoys exponential critical growth. Based on the Trudinger–Moser inequality, we derive the existence of normalized solutions for two classes of Kirchhoff problems. Our results are new and improve and complement some related literature.
ISSN:	0126-6705 2180-4206
DOI:	10.1007/s40840-023-01597-w