Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589988 | Journal of Functional Analysis | 2014 | 18 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bernhard Ruf, P.N. Srikanth,