TY - JOUR
AU - Castro, Alfonso
AU - Ventura, Ivan
PY - 2016/11/23
Y2 - 2022/01/18
TI - Existence of solutions to a semilinear elliptic boundary value problem with augmented Morse index bigger than two
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 49
IS - 1
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2016.075
SP - 233 - 244
AB - Building on the construction of least energy sign-changing solutions to variational semilinear elliptic boundary value problems introduced in \cite{ccn}, we prove the existence of a solution with {\it augmented Morse index} at least three when a sublevel of the corresponding action functional has nontrivial topology. We provide examples where the set of least energy sign changing solutions is disconnected, hence has nontrivial topology.
ER -