High energy solutions of modified quasilinear fourth-order elliptic equation
Abstract This paper focuses on the following modified quasilinear fourth-order elliptic equation: {△2u−(a+b∫R3|∇u|2dx)△u+λV(x)u−12△(u2)u=f(x,u),in R3,u(x)∈H2(R3), $$\textstyle\begin{cases} \triangle^{2}u-(a+b\int_{\mathbb{R}^{3}} \vert \nabla u \vert ^{2}\,dx)\triangle u+\lambda V(x)u-\frac{1}{2}\tr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-04-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-0970-6 |