Existence and multiplicity of solutions for a p-Kirchhoff equation on RN ${\mathbb {R}}^{N}$
Abstract In this paper, we consider the following p-Kirchhoff equation: P [M(∥u∥p)]p−1(−Δpu+V(x)|u|p−2u)=f(x,u),x∈RN, $$\begin{aligned} \bigl[M\bigl( \Vert u \Vert ^{p}\bigr)\bigr]^{p-1} \bigl(-\Delta_{p} u+V(x) \vert u \vert ^{p-2}u \bigr)=f(x,u), \quad x\in{\mathbb {R}}^{N}, \end{aligned}$$ where...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1045-4 |