Positive solutions for a Kirchhoff type problem with fast increasing weight and critical nonlinearity
In this paper, we study the following Kirchhoff type problem \[ -\left(a+b\int_{\mathbb{R}^3} K(x)|\nabla u|^2dx\right)\hbox{div}(K(x)\nabla u)=\lambda K(x)|x|^{\beta}|u|^{q-2}u+K(x)|u|^{4}u,\quad x\in \mathbb{R}^3, \] where $K(x)=\exp({|x|^{\alpha}/4})$ with $\alpha\geq2$, $\beta=(\alpha-2)(6-q)...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2019-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7402 |