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Existence of nontrivial solution for fourth-order semilinear ∆γ-Laplace equation in RN

Authors: 

Duong Trong Luyen

Source title: 
Electronic Journal of Qualitative Theory of Differential Equations, 78: 1-12, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

In this paper, we study existence of nontrivial solutions for a fourth-order semilinear Δγ-Laplace equation in a

a

where λ > 0 is a parameter and Δγ is the subelliptic operator of the type

a

Under some suitable assumptions on b(x) and f(x,ξ), we obtain the existence of nontrivial solution for λ large enough.