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Existence and Nonuniqueness of Solutions to a Robin Boundary Problem for Semilinear Elliptic Equations
Authors:Jie Jiang
Abstract:Sufficient conditions for existence and nonuniqueness of radially symmetric solutions to the Robin boundary problem of the form Δu + a(||x||)|u|^{-p} = 0 \qquad in B ⊂ R^N \frac{∂u}{∂n} + λu = -α \qquad on ∂B are obtained.
Keywords:Robin boundary problem                                                                                                positive solution                                                                                                negative solution                                                                                                nonuniqueness
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