TY - JOUR
AU - Margheri, Alessandro
AU - Rebelo, Carlota
PY - 2015/12/01
Y2 - 2022/01/20
TI - Multiplicity of solutions of asymptotically linear Dirichlet problems associated to second order equations in R^{2n+1}
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 46
IS - 2
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2015.083
SP - 1107 - 1118
AB - We present a result about multiplicity of solutions of asymptotically linear Dirichlet problems associated to second order equations in R^(2n+1), n \geq 1. Under an additional technical condition, the number of solutions obtained is given by the gap between the Morse indexes of the linearizations at zero and in nity. The additional condition is stable with respect to small perturbations of the vector eld. We show with a simple example that in some cases the size of the perturbation can be explicitly estimated.
ER -