Article ID Journal Published Year Pages File Type
8899692 Journal of Mathematical Analysis and Applications 2018 23 Pages PDF
Abstract
In this paper we establish some existence results to a fourth-order quasilinear elliptic equation involving the 1-biharmonic operator, formally given by Δ12u=Δ(Δu|Δu|). We consider different geometrical assumptions in the nonlinearity and use variational methods in order to get nontrivial ground-state solutions.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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