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- W2054496413 abstract "In this paper, we study the existence and non-existence of the positive solution to a semilinear elliptic equation with the harmonic potential and power type nonlinearity. First, we obtain non-existence result in three space dimension with the Sobolev critical nonlinearity. Next, we prove that there exists a global bifurcation branch with the Sobolev supercritical nonlinearity." @default.
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- W2054496413 date "2012-03-01" @default.
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- W2054496413 title "Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities" @default.
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- W2054496413 doi "https://doi.org/10.1016/j.jmaa.2011.09.034" @default.
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