Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in RN
In this article we study the problem Δ2u−(1+λ∫RN|∇u|2dx)Δu+V(x)u=|u|p−2uin RN, where Δ2≔Δ(Δ) is the biharmonic operator, λ>0 is a parameter, p∈(2,2∗), and V(x)∈C(RN,R). Under appropriate assumptions on V(x), the existence of ground state solutions and a least energy sign-changing solution is obt...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Emerald Publishing
2017-01-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516616300196 |