On the interior spike layer solutions to a singularly perturbed Neumann problem

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概要

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• In this paper, we construct interior spike layer solutions for a class of semilinear elliptic Neumann problems which arise as stationary solutions of Keller-Segel model in chemotaxis and also as limiting equations for the Gierer-Meinhardt system in biological pattern formation. We also classify the locations of single interior peaks. We show exactly how the geometry of the domain affects the spike solutions.

• 東北大学の論文

著者

• Wei Juncheng

  Department Of Mathematics Chinese University Of Hong Kong

関連論文

• Dynamics of Metastable Localized Patterns and Its Application to the Interaction of Spike Solutions for the Gierer-Meinhardt Systems in Two Spatial Dimensions
• On the interior spike layer solutions to a singularly perturbed Neumann problem
• Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical exponent

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