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Nonexistence of positive solutions of nonlinear elliptic systems with potentials vanishing at infinity
Authors:Soohyun Bae  Ohsang Kwon
Institution:1. Faculty of Liberal Arts and Sciences, Hanbat National University, Daejon 305-719, Republic of Korea;2. Center for Partial Differential Equations, East China Normal University, 500 Dongchuan Road, Shanghai, 200241, China
Abstract:We study the nonexistence of positive solutions for nonlinear elliptic systems with potentials vanishing at infinity, and establish the optimal vanishing order of potentials for the nonexistence of positive supersolutions in exterior domains.
Keywords:Nonlinear elliptic systems  Positive solutions  Nonexistence
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