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- W2093054921 abstract "For a sign-changing function a(x), we consider solutions of the following semilinear elliptic problem in RN with N⩾3:−Δu=(γa+−a−)uq+up,u⩾0 and u∈D(RN), where γ>0, 0<q<1 and p=N+2N−2. We show that all solutions are compactly supported if liminf|x|→∞a−(x)>0. When Ω+={x∈RN|a(x)>0} has several connected components, we prove that there exists an interval on γ, in which two solutions exist and are positive in Ω+, moreover one solution blows up as γ→0. A uniqueness result for solution with small L∞-norm is also given." @default.
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- W2093054921 date "2012-06-01" @default.
- W2093054921 modified "2023-09-30" @default.
- W2093054921 title "Multiple solutions with compact support for a semilinear elliptic problem with critical growth" @default.
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- W2093054921 doi "https://doi.org/10.1016/j.jde.2012.03.001" @default.
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