Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899692 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
In this paper we establish some existence results to a fourth-order quasilinear elliptic equation involving the 1-biharmonic operator, formally given by Î12u=Î(Îu|Îu|). 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
Sara Barile, Marcos T.O. Pimenta,