Existence of solutions for modified Kirchhoff-type equation without the Ambrosetti-Rabinowitz condition
This paper is devoted to studying a class of modified Kirchhoff-type equations \begin{equation*} -\Big(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}dx\Big)\Delta u+V(x)u-u\Delta(u^2)=f(x,u),\hspace{0.5cm} \mbox{in}\ \mathbb{R}^3, \end{equation*} where $a>0, b\geq 0$ are two constants and $V:\R^{3}\...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021272?viewType=HTML |