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- W2034352133 abstract "We study the nonlinear elliptic problem −Δu=χ{u>0}(logu+λf(x,u)) in Ω⊂Rn with u=0 on ∂Ω. The function f:Ω×[0,∞)→[0,∞) is nondecreasing, sublinear and fu is continuous. For every λ>0, we obtain a maximal solution uλ⩾0 and prove its global regularity C1,γ(Ω¯). There is a constant λ∗ such that uλ vanishes on a set of positive measure for 0<λ<λ∗, and uλ>0 for λ>λ∗. If f is concave, for λ>λ∗ we characterize uλ by its stability." @default.
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- W2034352133 date "2009-01-01" @default.
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- W2034352133 title "Existence and regularity to an elliptic equation with logarithmic nonlinearity" @default.
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- W2034352133 doi "https://doi.org/10.1016/j.jde.2008.06.035" @default.
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