Conditions for two-peaked solutions of singularly perturbed elliptic equations |
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| Authors: | Juncheng Wei |
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| Affiliation: | (1) Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong. e-mail: wei@math.cuhk.edu.hk, HK |
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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. Received: 20 January 1997 / Revised version: 2 December 1997 |
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| Keywords: | Mathematics Subject Classification (1991):Primary 35B40, 35B45 Secondary 35J40 |
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