Existence of positive solutions for nonlocal problems with indefinite nonlinearity
Abstract In this paper, we consider the following new nonlocal problem: { − ( a − b ∫ Ω | ∇ u | 2 d x ) Δ u = λ f ( x ) | u | p − 2 u , x ∈ Ω , u = 0 , x ∈ ∂ Ω , $$\left \{ \textstyle\begin{array}{l@{\quad}l} - (a-b\int_{\varOmega} \vert \nabla u \vert ^{2}\,dx )\Delta u=\lambda f(x) \vert u \vert ^...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-02-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01343-2 |