Abstract

In this paper, we are concerned with the existence of solutions for the following Kirchhoff type equation with saturable nonlinearity: −1+∫RN|∇u|2dxΔu+λu=μg(x)+u21+g(x)+u2uinRN,u∈Hr1(RN),where N≥3, λ∈R and μ>0 is a parameter. By imposing some suitable conditions on the function g(x), we obtain the existence of normalized solutions and least action solutions for the above problem. Some related results are greatly improved and extended.

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