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 . 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.
@article{bwmeta1.element.bwnjournal-article-bcpv27z1p45bwm,
author = {Begehr, Heinrich},
title = {Estimates of solutions to linear elliptic systems and equations},
journal = {Banach Center Publications},
volume = {27},
year = {1992},
pages = {45-63},
zbl = {0820.35016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p45bwm}
}
Begehr, Heinrich. Estimates of solutions to linear elliptic systems and equations. Banach Center Publications, Tome 27 (1992) pp. 45-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p45bwm/
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