Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity
Abstract In this paper, we consider the following new nonlocal Dirichlet boundary value problem: 0.1 {−(a−b∫Ω|∇u|2dx)Δu=λu+g(x,u),x∈Ω,u=0,x∈∂Ω, $$ \textstyle\begin{cases} -(a-b\int_{\Omega} \vert \nabla u \vert ^{2}\,dx)\Delta u=\lambda u+g(x,u),& x\in \Omega, \\ u=0,& x\in\partial\Omega, \e...
| 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/s13662-018-1823-4 |