@article{Castro_Ventura_2016, title={Existence of solutions to a semilinear elliptic boundary value problem with augmented Morse index bigger than two}, volume={49}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2016.075}, abstractNote={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.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Castro, Alfonso and Ventura, Ivan}, year={2016}, month={Nov.}, pages={233–244} }