Critical singular problems on unbounded domains

Abstract

We present some results of existence for the following problem: −Δu=a(x)g(u)+u|u|2∗−2, x∈ℝN(N≥3), u∈D1,2(ℝN), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2∗=2N/(N−2).