Abstract
In this paper we study the semilinear elliptic equations{−Δu=f(x,u),x∈Ω,u=0,x∈∂Ω, where Ω⊂RN is a smooth bounded domain. By using the minimax methods, bifurcation methods, Conley index theory and Morse theory, we obtain six nontrivial solutions for the equations with coercive nonlinearities.
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