Regularizing Effect in Singular Semilinear Problems Carmona Tapia, José Martínez Aparicio, Antonio Jesús Martínez Aparicio, Pedro J. Martínez-Teruel, Miguel Nonlinear elliptic equations Singular problem Regularizing effect Research supported by (MCIU) Ministerio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional under Research Project PID2021-122122NB-I00 (FEDER). First, second and third author supported by Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades-Unión Europea grant P18-FR-667. First and second author supported by Junta de Andalucía FQM-194 and first author also by CDTIME. Third and fourth author supported by Junta de Andalucía FQM-116 and by Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades grant UAL2020-FQM-B2046. Second and fourth author also supported by Ministerio de Universidades (grants FPU21/04849 and FPU21/ 05578 respectively). We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is-triangle u+ g(x, u) = f (x)/u(gamma) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded open set of R-N, gamma > 0, f (x) is a nonnegative function in L-1(Omega) and g(x, s) is a Caratheodory function. In a framework where no H-0(1) (Omega) solution is expected, we prove its existence (regularizing effect) whenever the datum f interacts conveniently either with the boundary of the domain or with the lower order term. 2023-11-13T13:19:36Z 2023-11-13T13:19:36Z 2023 info:eu-repo/semantics/article Carmona, J., Martínez Aparicio, A. J., Martínez-Aparicio, P. J., & Martínez-Teruel, M. (2023). Regularizing effect in singular semilinear problems. Mathematical Modelling and Analysis, 28(4), 561–580. [https://doi.org/10.3846/mma.2023.18616] https://hdl.handle.net/10481/85635 10.3846/mma.2023.18616 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional Vilnius Gediminas Technical University, Lithuania