Existence of nontrivial solution for fourth-order semilinear ∆γ-Laplace equation in RN
Existence of nontrivial solution for fourth-order semilinear ∆γ-Laplace equation in RN
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 
where λ > 0 is a parameter and Δγ is the subelliptic operator of the type
Under some suitable assumptions on b(x) and f(x,ξ), we obtain the existence of nontrivial solution for λ large enough.