Nonlinear elliptic problem of 2-q-Laplacian type with asymmetric nonlinearities

In this article, we study the nonlinear elliptic problem of 2-qLaplacian type −∆u− μ∆qu = −λ|u|r−2u+ au+ b(u+)θ−1 in Ω, u = 0 on ∂Ω, where Ω ⊂ RN is a bounded domain. For a is between two eigenvalues, we show the existence of three nontrivial solutions.

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