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A Quasi-Linear Elliptic Boundary Value Problem

Published online by Cambridge University Press:  20 November 2018

R. A. Adams
R. A. Adams*
Affiliation:
The University of Toronto
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Let Ω be a bounded open set in Euclidean n-space, En. Let α = (α1, … , an) be an n-tuple of non-negative integers;

and denote by Qm the set ﹛α| 0 ⩽ |α| ⩽ m}. Denote by x = (x1, … , xn) a typical point in En and put

In this paper we establish, under certain circumstances, the existence of weak and classical solutions of the quasi-linear Dirichlet problem

1

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 1105 - 1112
Copyright
Copyright © Canadian Mathematical Society 1966

References

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