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The singularly perturbed nonlinear elliptic systems in unbounded domains

✍ Scribed by Jiaqi Mo


Book ID
112818071
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1996
Tongue
English
Weight
214 KB
Volume
11
Category
Article
ISSN
1005-1031

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The equation -Ξ΅ 2 u + a Ξ΅ (x)u = u p-1 with boundary Dirichlet zero data is considered in an exterior domain = R N \ Ο‰ (Ο‰ bounded and N 2). Under the assumption that a Ξ΅ a 0 > 0 concentrates round a point of as Ξ΅ β†’ 0, that p > 2 and p < 2N/(N -2) when N 3, the existence of at least three positive di