Least-energy solutions to a non-autonomous semilinear problem with small diffusion coefficient

problem with a small diffusion coefficient are studied in this paper. We prove that the solutions will develop single peaks as the diffusion coefficient approaches 0. The location of the peaks is also considered in this paper. It turns out that the location of the peaks is determined by the non-auto...

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Bibliographic Details
Main Author: Xiaofeng Ren
Format: Article
Language:English
Published: Texas State University 1993-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1993/05/abstr.html