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Gui, Xue-Lin; Ge, Bin
Complex variables and elliptic equations, 10/2022, Letnik: 67, Številka: 10Journal Article
We consider the generalized quasilinear Schrödinger equations (P) where , is an even differentiable function, satisfies the Carathéodory condition, the potential is continuous and λ is a parameter. The intention of the article is to determine the precise positive interval of λ when the problem possesses at least two nontrivial solutions. The main tool is the abstract critical point which is based on the Ekeland variational principle. Moreover, the existence of one solution and infinite solutions has been studied by the mountain pass theorem and the symmetric mountain pass theorem.
