A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems López Martínez, Salvador 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. 2020-03-12T12:49:29Z 2020-03-12T12:49:29Z 2020 info:eu-repo/semantics/article López Martínez, S. (2019). A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems. arXiv preprint arXiv:1903.07894. http://hdl.handle.net/10481/60245 10.1515/anona-2020-0056 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Walter de Gruyter GmbH