# Estimates of solutions to linear elliptic systems and equations

Banach Center Publications (1992)

- Volume: 27, Issue: 1, page 45-63
- ISSN: 0137-6934

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topBegehr, Heinrich. "Estimates of solutions to linear elliptic systems and equations." Banach Center Publications 27.1 (1992): 45-63. <http://eudml.org/doc/262643>.

@article{Begehr1992,

abstract = {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.},

author = {Begehr, Heinrich},

journal = {Banach Center Publications},

keywords = {Riemann-problem; Riemann-Hilbert problem; a priori estimates; generalized first order Beltrami systems; Poincaré problem},

language = {eng},

number = {1},

pages = {45-63},

title = {Estimates of solutions to linear elliptic systems and equations},

url = {http://eudml.org/doc/262643},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Begehr, Heinrich

TI - Estimates of solutions to linear elliptic systems and equations

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 1

SP - 45

EP - 63

AB - 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.

LA - eng

KW - Riemann-problem; Riemann-Hilbert problem; a priori estimates; generalized first order Beltrami systems; Poincaré problem

UR - http://eudml.org/doc/262643

ER -

## References

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