The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter

作者：Colorado Eduardo; Garcia Melian Jorge^*

来源：Journal of Mathematical Analysis and Applications, 2011, 377(1): 53-69.

DOI：10.1016/j.jmaa.2010.10.015

• Principal eigenvalue
• Mixed boundary value problem
• Asymptotic behavior

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 lambda when lambda -> infinity. We analyze the case in which the problem is considered in a smooth bounded domain Omega of R(N), and also the case of planar domains which are smooth except for a finite number of corner points.

• 出版日期2011-5-1