Geodesic
Estimates of solutions to linear elliptic systems and equations
Banach Center Publications, Tome 27 (1992) no. 1, pp. 45-63.

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Whenever nonlinear problems have to be solved through approximation methods by solving related linear problems a priori estimates are very useful. In the following this kind of estimates are presented for a variety of equations related to generalized first order Beltrami systems in the plane and for second order elliptic equations in $ℝ^m$. Different types of boundary value problems are considered. For Beltrami systems these are the Riemann-Hilbert, the Riemann and the Poincaré problem, while for elliptic equations the Dirichlet problem as well as entire solutions are involved.
DOI : 10.4064/-27-1-45-63

Heinrich Begehr 1

1 
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Heinrich Begehr. Estimates of solutions to linear elliptic systems and equations. Banach Center Publications, Tome 27 (1992) no. 1, pp. 45-63. doi : 10.4064/-27-1-45-63. http://geodesic.mathdoc.fr/articles/10.4064/-27-1-45-63/

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