Existence of Solutions for some Quasiaffine PDEs

Abstract

We prove the existence of solutions of problems of the type

{Φ (D u (x)) u (x) = f (x) = ξ_{0} x in Ω on \partial Ω

with $Φ : R^{n \times n} \to R$ quasiaffine function and $ξ_{0} \in R^{n \times n}$ fixed.

Flavia Giannetti, Giovanni Pisante, Existence of Solutions for some Quasiaffine PDEs. Z. Anal. Anwend. 28 (2009), no. 1, pp. 47–56