RT Journal Article
T1 Asymptotic properties of PDEs in compact spaces
A1 López Somoza, Lucía
A1 Fernández Tojo, Fernando Adrián
K1 Topological methods for PDE
K1 Compactification
K1 Existence of solution
K1 Ascoli-Arzelà Theorem
AB In this article we combine the study of solutions of PDEs with the study of asymptotic properties of the solutions via compactification of the domain. We define new spaces of functions on which study the equations, prove a version of Ascoli–Arzelà Theorem, develop the fixed point index results necessary to prove existence and multiplicity of solutions in these spaces and also illustrate the applicability of the theory with an example
PB Springer
YR 2021
FD 2021
LK http://hdl.handle.net/10347/28999
UL http://hdl.handle.net/10347/28999
LA eng
NO Journal of Fixed Point Theory and Applications 23, 69 (2021). https://doi.org/10.1007/s11784-021-00905-w
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
DS Minerva
RD 28 abr 2026