Elliptic semi-linear systems on R\sp N

Details Elliptic semi-linear systems on R\sp N Elliptic semi-linear systems on R\sp N

2010-05-02

arxiv.org/abs/1005.0134v1

Mathematics

Analysis of PDEs

Scientific paper

In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g. when the non-linear term has a zero with non-zero coordinates, we can find a infinitely many solution of the eigenvalue problem with radial symmetry. Such problem arises when we search multiple standing-waves for a non-linear wave system.

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