Multiplicity of Nodal Solutions for a Class of Double-Phase Problems

Jie Yang, Haibo Chen, Senli Liu
2020 Journal of Function Spaces  
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.
doi:10.1155/2020/3805803 doaj:4040687526f6417a8480af81a740b534 fatcat:pdcs5ziebzdcdadpqmy462s65y