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The real jacobian conjecture on $\R^2$ is true when one of the components has degree 3
Higher differentiability for solutions of linear elliptic systems with measure data
| 1. | Dipartimento di Matematica ed Informatica, Universitá degli Studi di Catania, Viale A. Doria 6 - 95125 Catania, Italy, Italy |
$A(u) \equiv - D_i (A_{ij}(x) D_j u) = \mu $
$u \in W^{1,1}_0$(Ω$, \IR^N)$
where Ω is an open bounded subset of $\IR^n$ $(n \geq 2)$ with $C^1$-boundary, $A$ is an elliptic operator with C 0, α-coefficients ($\alpha \in ]0,1]$) and $\mu$ is a signed Radon measure with finite total variation, satisfying a suitable density condition.
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