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

Autor: Wei-Long Yang, Jia-Feng Liao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 42, Pp 1-19 (2024)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2024.1.42
Popis: 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
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