Singular solutions to Yamabe-type systems with prescribed asymptotics
Analysis of PDEs
2020-09-04 v1
Abstract
Our primary purpose is to study a class of strongly coupled nonlinear elliptic systems with critical growth in a compact Riemannian manifold with constant scalar curvature. Using a gluing technique and perturbation arguments, we show the existence of singular solutions asymptotic to a Fowler-type solution near the isolated singularity.
Cite
@article{arxiv.2009.01787,
title = {Singular solutions to Yamabe-type systems with prescribed asymptotics},
author = {Rayssa Caju and João Marcos do Ó and Almir Silva Santos},
journal= {arXiv preprint arXiv:2009.01787},
year = {2020}
}
Comments
36 pages