Nonlinear Picone identities to Pseudo $p$-Laplace operator and applications
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Abstract:
In this paper, we derive a nonlinear Picone identity to the pseudo p-Laplace operator, which contains some known Picone identities and removes a condition used in many previous papers. Some applications are given including a Liouville type theorem to the singular pseudo p-Laplace system, a Sturmian comparison principle to the pseudo p-Laplace equation, a new Hardy type inequality with weight and remainder term, a nonnegative estimate of the functional associated to pseudo p-Laplace equation.
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Journal title
volume 43 issue 7
pages 2517- 2530
publication date 2017-12-01
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