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- W2963961073 abstract "For any n≥3, 0<m≤(n−2)/n, and constants η>0, β>0, α≤β(n−2)/m, we prove the existence of radially symmetric solution of n−1mΔvm+αv+βx⋅∇v=0, v>0, in Rn, v(0)=η, without using the phase plane method. When 0<m<(n−2)/n, n≥3, we prove that v satisfies lim|x|→∞|x|2v(x)1−mlog|x|=2(n−1)(n−2−nm)β(1−m) if α=2β/(1−m)>0 and lim|x|→∞|x|α/βv(x)=A for some constant A>0 if 2β/(1−m)>max(α,0). For β>0 or α=0, we prove that the radially symmetric solution v(m) of the above elliptic equation converges uniformly on every compact subset of Rn to the solution of an elliptic equation as m→0." @default.
- W2963961073 created "2019-07-30" @default.
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- W2963961073 date "2012-05-01" @default.
- W2963961073 modified "2023-09-30" @default.
- W2963961073 title "Singular limit and exact decay rate of a nonlinear elliptic equation" @default.
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- W2963961073 doi "https://doi.org/10.1016/j.na.2012.01.009" @default.
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