Liouville theorems for anisotropic quasilinear inequalities

✍ Scribed by Lorenzo D’Ambrosio

• Book ID: 103849793
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 856 KB
• Volume: 70
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2008.12.028

✦ Synopsis

The purpose of this paper is to prove some nonexistence results for nonnegative weak solutions of differential inequalities

Here L is a quasilinear operator belonging to a wide class of operators, including the anisotropic pseudo-m-Laplacian operator, the m-Laplacian operator, the mean curvature operator acting in Euclidean setting, as well as their counterparts in Carnot groups setting.