TRIPLE JUNCTION SOLUTIONS FOR A SINGULARLY PERTURBED NEUMANN PROBLEM
Publication in refereed journal
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替代計量分析
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摘要We consider the singularly perturbed Neumann problem epsilon(2)Delta u - u + up = 0, u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where p > 1 and Omega is a smooth and bounded domain in R(2). We construct a class of solutions which consist of large number of spikes concentrated on three line segments with a common endpoint which intersect partial derivative Omega orthogonally.
著者Ao WW, Musso M, Wei JC
期刊名稱SIAM Journal on Mathematical Analysis
出版年份2011
月份1
日期1
卷號43
期次6
出版社SIAM PUBLICATIONS
頁次2519 - 2541
國際標準期刊號0036-1410
電子國際標準期刊號1095-7154
語言英式英語
關鍵詞finite-dimensional reduction; singularly perturbed problems; triple junctions
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED
