Multiple solutions for a class of quasilinear elliptic problems with discontinuous nonlinearities and weights Original Research Article

In this paper, using nonsmooth critical point theory, we study the existence of multiple solutions of the following class of problems: View the MathML source{−div(|x|−ap|∇u|p−2∇u)∈λ|x|−(a+1)p+c[f−(u),f+(u)],x∈Ω,u=0,x∈∂Ω, Turn MathJax on where View the MathML sourcea,c,λandf−,f+ satisfy certain conditions.