Abstract
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.
Citation
Luigi Greco. Anna Verde. "On some nonlinear expressions of the Jacobian." Differential Integral Equations 13 (10-12) 1569 - 1582, 2000. https://doi.org/10.57262/die/1356061140
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