Weak solutions of degenerated quasilinear elliptic equations of higher order

Abstract

We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper [3].

Keywords

• Degenerated problems
• quasilinear elliptic equations of higher order
• weighted Sobolev spaces
• degree of a mapping.