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• W2014232869 abstract "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 relies on the method of test functions. No use of comparison and maximum principles or assumptions on symmetry or behavior at infinity of the solutions are required." @default.
• W2014232869 created "2016-06-24" @default.
• W2014232869 creator A5080476816 @default.
• W2014232869 date "2011-01-01" @default.
• W2014232869 modified "2023-09-27" @default.
• W2014232869 title "Nonexistence of nonnegative solutions of elliptic systems of divergence type" @default.
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• W2014232869 doi "https://doi.org/10.1016/j.jde.2010.09.028" @default.
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