Sub-supersolutions in a variational inequality related to a sandpile problem

• Autores: Vy Khoi Le
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 2, 2006, págs. 179-198
• Idioma: inglés
• DOI: 10.1017/s1446181100003023
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• Resumen

  • 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.