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Ground state sign-changing solution for a logarithmic Kirchhoff-type equation in $\mathbb{R}^{3}$

Authors :
Wei-Long Yang
Jia-Feng Liao
Source :
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 42, Pp 1-19 (2024)
Publication Year :
2024
Publisher :
University of Szeged, 2024.

Abstract

We investigate the following logarithmic Kirchhoff-type equation: \begin{equation*} \left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}+V(x)u^{2}dx\right)[-\Delta u+V(x)u]=|u|^{p-2}u\ln |u|,\qquad x\in\mathbb{R}^{3}, \end{equation*} where $a,b>0$ are constants, $4

Details

Language :
English
ISSN :
14173875
Volume :
2024
Issue :
42
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Qualitative Theory of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.52644e36190b42c6822d32e6a531b016
Document Type :
article
Full Text :
https://doi.org/10.14232/ejqtde.2024.1.42