Article ID Journal Published Year Pages File Type
4589988 Journal of Functional Analysis 2014 18 Pages PDF
Abstract

Singularly perturbed elliptic equations with superlinear nonlinearities of polynomial type are considered on an annulus in RnRn, n≥4n≥4. It is shown that for small parameters there exist solutions which concentrate on manifolds of dimensions one, three and seven, which are given as Hopf-fibres.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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