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The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter |
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| Authors: | Eduardo Colorado |
| Affiliation: | a Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Leganés, Madrid, Spain b Departamento de Análisis Matemático, Universidad de La Laguna, C. Astrofísico Francisco Sánchez s/n, 38271 La Laguna, Spain c Instituto Universitario de Estudios Avanzados (IUdEA) en Física Atómica, Molecular y Fotónica, Facultad de Física, Universidad de La Laguna, C. Astrofísico Francisco Sánchez s/n, 38203 La Laguna, Spain |
| Abstract: | In this paper we determine the exact asymptotic behavior of the principal eigenvalue of a mixed elliptic eigenvalue problem which depends on a positive parameter λ when λ→∞. We analyze the case in which the problem is considered in a smooth bounded domain Ω of RN, and also the case of planar domains which are smooth except for a finite number of corner points. |
| Keywords: | Principal eigenvalue Mixed boundary value problem Asymptotic behavior |
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