The existence of sign-changing solutions for Schrödinger-Kirchhoff problems in R<sup>3</sup>
In this paper, we consider the following Kirchhoff-type equation: $ -\left(a+b\int_{ \mathbb{R}^3}|\nabla u|^2dx\right)\Delta u+u = |u|^{p-1}u,\quad {\rm{in }}\; \mathbb{R}^3, $ where $ a $, $ b > 0 $, $ p \in (1, 5) $. By considering a minimization problem on a special constraint set...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-04-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021395?viewType=HTML |