We consider the following parametric double-phase problem: ?div?up?2?u+ax?uq?2?u=λfx,u?in?Ω,u=0,on??Ω.. We do not impose any global growth conditions to the nonlinearity fx,u, which refer solely to its behavior in a neighborhood of u=0. And we will show that they suffice for the multiplicity of signed and nodal solutions of the double-phase problem above when λ is large enough.
展开▼
