@misc{10481/85635,
year = {2023},
url = {https://hdl.handle.net/10481/85635},
abstract = {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.},
organization = {Ministerio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación PID2021-122122NB-I00 (FEDER)},
organization = {Junta de Andalucía},
organization = {Unión Europea P18-FR-667},
organization = {Junta de Andalucía FQM-194, FQM-116,  UAL2020-FQM-B2046},
organization = {CDTIME},
organization = {Ministerio de Universidades  FPU21/04849, FPU21/05578},
publisher = {Vilnius Gediminas Technical University, Lithuania},
keywords = {Nonlinear elliptic equations},
keywords = {Singular problem},
keywords = {Regularizing effect},
title = {Regularizing Effect in Singular Semilinear Problems},
doi = {10.3846/mma.2023.18616},
author = {Carmona Tapia, José and Martínez Aparicio, Antonio Jesús and Martínez Aparicio, Pedro J. and Martínez-Teruel, Miguel},
}