Sub-supersolutions in a Variational Inequality Related to a Sandpile Problem
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
V. K. Le, "Sub-supersolutions in a Variational Inequality Related to a Sandpile Problem," ANZIAM Journal, Australian Mathematical Society, Jan 2006.
Mathematics and Statistics
Keywords and Phrases
Extremal solution; Sandpile problem; Sub-supersolution; Variational inequality
International Standard Serial Number (ISSN)
Article - Journal
© 2006 Australian Mathematical Society, All rights reserved.