Existence of multiple solutions and estimates of extremal values for a Kirchhoff type problem with fast increasing weight and critical nonlinearity
In this article, we study the Kirchhoff type problem $$ -\Big(a+\epsilon\int_{\mathbb{R}^3} K(x)|\nabla u|^2dx\Big)\hbox{div} (K(x)\nabla u)=\lambda K(x)f(x)|u|^{q-2}u+K(x)|u|^{4}u, $$ where $x\in \mathbb{R}^3$, $1<q<2$, $K(x)=\exp({|x|^{\alpha}/4})$ with $\alpha\geq2$, $\epsilon>0$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/144/abstr.html |