A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems
Analysis of PDEs
2019-03-20 v1
Abstract
We study a boundary value elliptic problem having a lower order nonlinear term with subquadratic growth in the gradient of the solution and possibly singular when the solution vanishes. If the singularity is mild enough (and even in the absence of the singularity), we prove an existence and multiplicity result. On the contrary, we prove an existence and uniqueness result for strong singularities.
Keywords
Cite
@article{arxiv.1903.07894,
title = {A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems},
author = {Salvador López Martínez},
journal= {arXiv preprint arXiv:1903.07894},
year = {2019}
}