Abstract
We study elliptic equations with quasilinear perturbation{Δu+12κuΔu2+ε∑i,j=1N(aij(u)Diju+12Dzaij(u)DiuDju)+f(u)+εh(u)=0,inΩ,u=0,on∂Ω, where Ω⊂RN,N≥3 is a smooth bounded domain, κ∈{0,1}, ε is a small parameter. Multiplicity result is proved by elliptic regularization method.
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