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On the existence of some new positive interior spike solutions to a semilinear Neumann problem - MaRDI portal

On the existence of some new positive interior spike solutions to a semilinear Neumann problem (Q2654044)

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On the existence of some new positive interior spike solutions to a semilinear Neumann problem
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    On the existence of some new positive interior spike solutions to a semilinear Neumann problem (English)
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    15 January 2010
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    The authors study a class of singularly perturbed semilinear elliptic equation with Neumann boundary condition. And they prove the existence of a second interior \(k\)-peak solution provided that \(k\) is large enough, and they conjecture that its peaks are located along a straight line.
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    multiple interior peaks
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    finite-dimensional reduction
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