Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity
Abstract We consider the following nonlinear biharmonic equations: Δ2u−Δu+Vλ(x)u=f(x,u),in RN, $$ \Delta^{2} u-\Delta u+ V_{\lambda }(x)u=f(x,u),\quad \text{in } \mathbb{R}^{N}, $$ where Vλ(x) $V_{\lambda }(x)$ is allowed to be sign-changing and f is an indefinite function. Under some suitable assum...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1782-9 |