New sign-changing solutions for the 2D Lane-Emden problem with large exponents
Analysis of PDEs
2023-12-13 v1
Abstract
We construct a new family of sign-changing solutions for a two-dimensional Lane-Emden problem with large exponent whose shape resembles a tower with alternating sign of bubbles solving different singular Liouville equations on the whole plane.
Keywords
Cite
@article{arxiv.2312.07164,
title = {New sign-changing solutions for the 2D Lane-Emden problem with large exponents},
author = {Angela Pistoia and Tonia Ricciardi},
journal= {arXiv preprint arXiv:2312.07164},
year = {2023}
}