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Weak solutions of a quasi-linear degenerate elliptic system with discontinuous coefficients

Published online by Cambridge University Press:  22 January 2016

Yoshiaki Ikeda
Yoshiaki Ikeda*
Affiliation:
Department of Mathematics, Aichi University of Education, Kariya, 448, Japan
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We shall discuss regularities and related topics on weak solutions of the system of the following quasi-linear elliptic differential equations (a combination of almost single equations)

in a bounded domain Ω in Rn (n ≧ 2), where A1j … (A1j …, Anj) are given vector functions of (x, u, ▽uj), Bj are scalar functions of the same variables, and ▽uj = (∂uj/∂x1, …, ∂uj/∂xj denote the gradients of the uj = uj(x) (j = 1, …, m).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 94 , June 1984 , pp. 105 - 135
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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