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- W2012151103 abstract "We consider radial solution u(|x|), x ∈ Rn, of a p-Laplace equation with non-linear potential depending also on the space variable x. We assume that the potential is polynomial and it is negative for u small and positive and subcritical for u large.We prove the existence of radial Ground States under suitable Hypotheses on the potential f(u,|x|). Furthermore we prove the existence of uncountably many radial Singular Ground States; this last result seems to be new even for the spatial independent case and even for p=2.The proofs combine an energy analysis and the dynamical systems approach developed by Johnson, Pan, Yi and Battelli for the p=2 case." @default.
- W2012151103 created "2016-06-24" @default.
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- W2012151103 date "2005-01-01" @default.
- W2012151103 modified "2023-10-04" @default.
- W2012151103 title "Ground States and Singular Ground States for Quasilinear Elliptic Equation in the Subcritical Case" @default.
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- W2012151103 doi "https://doi.org/10.1619/fesi.48.331" @default.
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