Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms
Analysis of PDEs
2023-01-13 v1
Abstract
We study the possible blow-up behavior of solutions to the slightly subcritical elliptic problem with Hardy term in a bounded domain with , as . In \cite{BarGuo-ANS}, we obtained the existence of nodal solutions that blow up positively at the origin and negatively at a different point as with , . Here we prove the existence of nodal bubble tower solutions, i.e.\ superpositions of bubbles of different signs, all blowing up at the origin but with different blow-up order, as , .
Keywords
Cite
@article{arxiv.2301.04928,
title = {Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms},
author = {Thomas Bartsch and Qianqiao Guo},
journal= {arXiv preprint arXiv:2301.04928},
year = {2023}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:1508.04007