Existence of Solutions for some Quasiaffine PDEs

Flavia Giannetti
Università degli Studi di Napoli Federico II, Italy
MathSciNet zbMATH Open
Giovanni Pisante
Università degli Studi Federico II, Caserta, Italy
MathSciNet ORCID zbMATH Open

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