Some remarks on an existence problem for degenerate elliptic systems

Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti

doi:10.1090/S0002-9939-04-07695-6

Some remarks on an existence problem for degenerate elliptic systems
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by Olli Martio, Vladimir Miklyukov and Matti Vuorinen PDF

Proc. Amer. Math. Soc. 133 (2005), 1451-1458 Request permission

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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