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Sub-supersolutions in a variational inequality related to a sandpile problem
Published online by Cambridge University Press: 17 February 2009
Abstract
In this paper we study a variational inequality in which the principal operator is a generalised Laplacian with fast growth at infinity and slow growth at 0. By defining appropriate sub-and super-solutions, we show the existence of solutions and extremal solutions of this inequality above the subsolutions or between the sub- and super-solutions.
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- Research Article
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- Copyright © Australian Mathematical Society 2006
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