On semilinear elliptic problems involving critical exponents Original Research Article

In this paper we study Brezis–Nirenberg type results for radial solutions of a semilinear elliptic equation of the form View the MathML source{−Δu=λC(|x|)u+B(|x|)|u|q−2u,a.e.x∈BR(0)⊂RN,R>0,u=0,on ∂BR(0) Turn MathJax on where λ∈Rλ∈R, q≥2q≥2, and the weights View the MathML sourceB,C are appropriate positive measurable radially symmetric functions.