Persistence of the bifurcation structure for a semilinear elliptic problem on thin domains |
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Authors: | Toru Kan |
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Affiliation: | Mathematical Institute, Tohoku University, Sendai 980-8578, Japan |
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Abstract: | We study a semilinear elliptic problem on thin domains with a bifurcation parameter. It is shown that the set of solutions is upper semicontinuous as the thickness of a domain tends to 0, and that solution branches including bifurcation points persist near those of a one-dimensional limiting equation. |
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Keywords: | 35J25 35B32 |
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