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Some remarks on an existence problem for degenerate elliptic systems


Authors: Olli Martio, Vladimir Miklyukov and Matti Vuorinen
Journal: Proc. Amer. Math. Soc. 133 (2005), 1451-1458
MSC (2000): Primary 30C62; Secondary 35J70
Published electronically: November 22, 2004
MathSciNet review: 2111944
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Abstract: The system $au_x+ bu_y=v_y,\quad cu_x+du_y=-v_x ,$ which yields Beltrami's system if $b=c$, is considered. Under a condition for the coefficients $a,b,c,d $ a non-existence theorem is proved.


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Additional Information

Olli Martio
Affiliation: Department of Mathematics and Statistics, P.O. Box 68, FIN-00014, University of Helsinki, Finland
Email: martio@cc.helsinki.fi

Vladimir Miklyukov
Affiliation: Department of Mathematics, Volgograd State University, 2 Prodolnaya, 30, Volgograd, 400062, Russia
Email: miklyuk@mail.ru

Matti Vuorinen
Affiliation: Department of Mathematics, FIN-20014, University of Turku, Finland
Email: vuorinen@csc.fi

DOI: https://doi.org/10.1090/S0002-9939-04-07695-6
Received by editor(s): June 1, 2003
Received by editor(s) in revised form: January 22, 2004
Published electronically: November 22, 2004
Communicated by: Richard A. Wentworth
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.