Vol. 214, No. 2, 2004

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A singularly perturbed linear eigenvalue problem in C1 domains

Yuan Lou and Meijun Zhu

Vol. 214 (2004), No. 2, 323–334
Abstract

Some non-existence result is established for bounded solutions of a Neumann problem on the upper half space. Based on this non-existence result, precise asymptotic behavior is given for the principal eigenvalue of some linear eigenvalue problem in bounded C1 domains, and this answers a question that appeared in Lacey et al, 1998.

Milestones
Received: 15 December 2000
Published: 1 April 2004
Authors
Yuan Lou
Department of Mathematics
The Ohio state University
Columbus, OH 43210
Meijun Zhu
Department of Mathematics
The University of Oklahoma
Norman, OK 73019