Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501686 | Journal of Differential Equations | 2005 | 26 Pages |
Abstract
We study the structure of positive solutions to the equation ÉmÎmu-um-1+fu=0 with homogeneous Neumann boundary condition. First, we show the existence of a mountain-pass solution and find that as Éâ0+ the mountain-pass solution develops into a spike-layer solution. Second, we prove that there is an uniform upper bound independent of É for any positive solution to our problem. We also present a Harnack-type inequality for the positive solutions. Finally, we show that if 1
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yi Li, Chunshan Zhao,