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Conditions for two-peaked solutions of singularly perturbed elliptic equations

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Abstract:

We obtain necessary conditions for the existence of two-peaked solutions of singularly perturbed elliptic equations. These conditions are related to the geometry of the domain. In particular, we prove there are no two-peaked solutions in a strictly convex domain.

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Authors and Affiliations

  1. Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong. e-mail: wei@math.cuhk.edu.hk, , , , , , HK

    Juncheng Wei

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  1. Juncheng Wei
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Received: 20 January 1997 / Revised version: 2 December 1997

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Wei, J. Conditions for two-peaked solutions of singularly perturbed elliptic equations . manuscripta math. 96, 113–131 (1998). https://doi.org/10.1007/s002290050057

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  • DOI: https://doi.org/10.1007/s002290050057

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