RT Journal Article
T1 The Singular Perturbation Problem for a Class of Generalized Logistic Equations Under Non-classical Mixed Boundary Conditions
A1 Fernández-Rincón, Sergio
A1 López-Gómez, Julián
AB This paper studies a singular perturbation result for a class of generalized diffusive  logistic equa- tions, dLu = uh(u, x), under non-classical mixed boundary conditions, Bu = 0 on ∂Ω. Most of the precursors of this result dealt with Dirichlet boundary conditions and self-adjoint  second order elliptic operators. To over- come the new technical difficulties originated by the  generality of the new setting, we have characterized the regularity of ∂Ω through the regularity of the associated conormal projections and conormal distances. This seems to be a new result of a huge relevance on its own. It actually complements some classical findings of Serrin, Gilbarg and Trudinger, Krantz and Parks, Foote, and Li and Nirenberg concerning the regularity of the inner distance function to the boundary.
PB de Gruyter
SN 1536-1365
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/13174
UL https://hdl.handle.net/20.500.14352/13174
LA spa
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministerio de Educación y Ciencia (MEC)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 20 abr 2025