Document Type

Article

Publication Date

2014

Abstract

We consider the existence of multi-peak solutions to two types of free boundary problems arising in confined plasma and steady vortex pair under conditions on the nonlinearity we believe to be almost optimal. Our results show that the “core” of the solution has multiple connected components, whose boundary called free boundary of the problems consists approximately of spheres which shrink to distinct single points as the parameter tends to zero.

Comments

Attached is author's pre-print ahead of publication. The final publication is available at Springer via http://dx.doi.org/10.1007/s00526-014-0782-1.

DOI

10.1007/s00526-014-0782-1

Download


Share

COinS