Boundary towers of layers for some supercritical problems
Analysis of PDEs
2013-05-07 v2
Abstract
We show that in some suitable torus-like domains D some supercritical elliptic problems have an arbitrary large number of sign-changing solutions with alternate positive and negative layers which concentrate at different rates along a k-dimensional submanifold of the boundary of D as p approaches 2*_{N,K} from below.
Keywords
Cite
@article{arxiv.1302.1217,
title = {Boundary towers of layers for some supercritical problems},
author = {Seunghyeok Kim and Angela Pistoia},
journal= {arXiv preprint arXiv:1302.1217},
year = {2013}
}