By using mountain pass arguments and a novel grouptheoretical approach, in this paper we study the existence of multiple sequences of nodal solutions with prescribed different symmetries for a wide class of (sub)critical elliptic problems settled on the unit sphere (Sd, h), of dimension d ≥ 5, whose simple prototype is given by the celebrated Yamabe equation on the sphere.
Molica Bisci Giovanni (Wed,) studied this question.