Some remarks on an existence problem for degenerate elliptic systems
: Martio O., Miklyukov V., Vuorinen M.
: 2005
: Proceedings of the American Mathematical Society
: Proceedings of the American Mathematical Society
: 133
: 5
: 1451
: 1458
: 8
: 0002-9939
DOI: https://doi.org/10.1090/S0002-9939-04-07695-6
: http://api.elsevier.com/content/abstract/scopus_id:18144418943
The system au + bu = v, cu + du = -v, 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. © 2004 American Mathematical Society.