Sub-supersolutions in a Variational Inequality Related to a Sandpile Problem

Author

Vy Khoi Le, Missouri University of Science and TechnologyFollow

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

Recommended Citation

V. K. Le, "Sub-supersolutions in a Variational Inequality Related to a Sandpile Problem," ANZIAM Journal, Australian Mathematical Society, Jan 2006.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Extremal solution; Sandpile problem; Sub-supersolution; Variational inequality

International Standard Serial Number (ISSN)

1446-1811

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Australian Mathematical Society, All rights reserved.

Publication Date

01 Jan 2006