Nonexistence of nonnegative solutions of elliptic systems of divergence type

作者：Filippucci Roberta^*

来源：Journal of Differential Equations, 2011, 250(1): 572-595.

DOI：10.1016/j.jde.2010.09.028

• Elliptic systems
• Nonexistence of entire weak solutions

In this paper we deal with noncoercive elliptic systems of divergence type that include both the p Laplacian and the mean curvature operator and whose right-hand sides depend also on a gradient factor We prove that any nonnegative entire (weak) solution is necessarily constant The main argument of our proofs is based on previous estimates given in Filippucci (2009) [12] for elliptic inequalities Actually the main technique for proving the central estimate has been developed by Mitidieri and Pohozaev (2001) [23] and relie

• 出版日期2011-1-1