Differential and Integral Equations

On some nonlinear expressions of the Jacobian

Luigi Greco and Anna Verde

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We define the expressions $J\log^{1+\alpha}(e+|D f|)$ and $J\log^{1+\alpha}(e+|J|)$ as Schwartz distributions, for $f\colon\Omega\subset{{\Bbb R}}^n\to {{\Bbb R}}^n$ a Sobolev mapping such that $|D f|^n\log^\alpha(e+|D f|)$ is locally integrable, $-1 <\alpha <0$, and $J$ the Jacobian determinant.

Article information

Differential Integral Equations, Volume 13, Number 10-12 (2000), 1569-1582.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Secondary: 47B38: Operators on function spaces (general)


Greco, Luigi; Verde, Anna. On some nonlinear expressions of the Jacobian. Differential Integral Equations 13 (2000), no. 10-12, 1569--1582. https://projecteuclid.org/euclid.die/1356061140

Export citation