Abstract
In this paper, we are concerned with the multiplicity of nontrivial solutions for the following class of biharmonic problem Δ2u=μ|u|q−2u+|u|2蜧蜧−2uinΩ,u=∂u∂η=0on∂Ω, where Ω⊂RN is a bounded domain with smooth boundary. Using the Lusternik–Schnirelman theory, we relate the number of solutions with the topology of Ω. Copyright © 2012 John Wiley & Sons, Ltd.
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