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On the positivity of weak supersolutions of non-uniformly elliptic equations
Published online by Cambridge University Press: 17 April 2009
Abstract
The classical maximum principle for homogeneous, second order, uniformly elliptic equations implies that non-negative, classical supersolutions are either positive or vanish identically in the interior of their domain of definition. This paper is concerned with an extension of this result to weak supersolutions of non-uniformly elliptic equations subject to only mild coefficient restrictions.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 19 , Issue 3 , December 1978 , pp. 321 - 324
- Copyright
- Copyright © Australian Mathematical Society 1979
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