JournalszaaVol. 28, No. 1pp. 47–56

Existence of Solutions for some Quasiaffine PDEs

  • Flavia Giannetti

    Università degli Studi di Napoli Federico II, Italy
  • Giovanni Pisante

    Università degli Studi Federico II, Caserta, Italy
Existence of Solutions for some Quasiaffine PDEs cover
Download PDF

Abstract

We prove the existence of solutions of problems of the type

{Φ(Du(x))=f(x)in Ωu(x)=ξ0xon Ω\left\{ \begin{aligned} \Phi(Du(x)) &= f(x) &\quad &\text{\rm in } \, \Omega\\ u(x) &=\xi_0 x &\quad &\text{\rm on } \, \partial \Omega \end{aligned} \right.

with Φ:Rn×nR\Phi:\mathbb{R}^{n\times n} \to \mathbb{R} quasiaffine function and ξ0Rn×n\xi_0\in \mathbb{R}^{n\times n} fixed.

Cite this article

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

DOI 10.4171/ZAA/1371