Structure of Large Positive Solutions of Some Semilinear Elliptic Problems Where the Nonlinearity Changes Sign
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چکیده
Existence and uniqueness of large positive solutions are obtained for some semilinear elliptic Dirichlet problems in bounded smooth domains Ω with a large parameter λ. It is shown that the large positive solution has flat core. The distance of its flat core to the boundary ∂Ω is exactly measured as λ→∞.
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تاریخ انتشار 2007