RT Journal Article
T1 Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries
A1 Arrieta Algarra, José María
A1 Nogueira, Ariadne
A1 Pereira, Marcone C.
AB In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the oscillatory boundary. Our main result is concerned with the upper and lower semicontinuity of the set of solutions. We show that the solutions of our perturbed equation can be approximated with one of a one-dimensional equation, which also captures the effects of all relevant physical processes that take place in the original problem.
PB Elsevier
SN 08981221
YR 2019
FD 2019-01-15
LK https://hdl.handle.net/20.500.14352/13213
UL https://hdl.handle.net/20.500.14352/13213
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO ICMAT Severo Ochoa
DS Docta Complutense
RD 12 may 2025