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