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A note on nonlinear elliptic systems involving measures. (English) Zbl 0939.35063
The author studies existence and regularity for solutions of the problem $-\operatorname{div} \sigma(x,u(x),Du(x)) = \mu, \quad \text{in }\Omega, \qquad u = 0 \quad \text{on }\partial \Omega$ with a measure on the right hand side and a convenient notion of solvability.

##### MSC:
 35J60 Nonlinear elliptic equations 35B45 A priori estimates in context of PDEs
##### Keywords:
existence; regularity; elliptic systems
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