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Original Articles

An application of self-conjugate differential forms to the Dirichlet problem for Cimmino system

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Pages 919-937 | Received 12 Jul 2016, Accepted 22 Oct 2016, Published online: 21 Nov 2016
 

Abstract

In the present paper, we find necessary and sufficient conditions for the solvability of the Dirichlet problem for Cimmino system in simply and multiply connected domains. Our results hinge on the theory of self-conjugate differential forms, which are non homogeneous differential forms U such that .

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the authors.

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