Work

Normalized solutions for the Kirchhoff problem with critical exponential growth

Year: 2025

Type: article

Abstract: This paper investigates the existence of normalized solutions for the Kirchhoff problem, where the nonlinear term exhibits critical exponential growth of the Trudinger-Moser type. Under weak assumptions, we establish several new existence results by utilizing refined estimates and analytical techniques. Our study extends and complements existing findings in the literature.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2025059

Authors: Liu Gao, Zhong Tan

Institution: Xiamen University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: 高维可压流体中的若干数学理论研究, G4843563702