On the Lowest Eigenvalue of Laplace Operators with Mixed Boundary Conditions
نویسنده
چکیده
In this paper we consider a Robin-type Laplace operator on bounded domains. We study the dependence of its lowest eigenvalue on the boundary conditions and its asymptotic behaviour in shrinking and expanding domains. For convex domains we establish two-sided estimates on the lowest eigenvalues in terms of the inradius and of the boundary conditions. AMS Mathematics Subject Classification: 47F05, 49R05
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تاریخ انتشار 2012