TY  - JOUR
AU  - Sabina Lis, J.
AU  - Segura de León, S.
T1  - 1D logistic reaction and p-Laplacian diffusion as p goes to one
LA  - eng
PY  - 2020
T2  - Ricerche di Matematica
SN  - 1827-3491
PB  - Springer-Verlag Italia s.r.l.
AB  - This work discusses the existence of the limit as p goes to 1 of the nontrivial solutions to the one-dimensional problem:{-(|ux|p-2ux)x=λ|u|p-2u-|u|q-2u0<x<1u(0)=u(1)=0,where λ is a positive parameter and the exponents p, q satisfy 1 < p< q. We prove that solutions do converge to a limit function, which solves in a proper sense a Dirichlet problem involving the 1-Laplacian operator.
DO  - 10.1007/S11587-020-00546-0
UR  - https://portalciencia.ull.es/documentos/60e6a7644edb8e25f92d3a01
DP  - Dialnet - Portal de la Investigación
ER  -