Abstract and Applied Analysis
Volume 2005 (2005), Issue 6, Pages 639-653
doi:10.1155/AAA.2005.639
Critical singular problems on unbounded domains
D.C. de Morais Filho1
and O.H. Miyagaki2
1Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Caixa Postal 10044, Campina Grande 58109-970, PB, Brazil
2Departamento de Matemática, Universidade Federal de Viçosa, Viçosa 36571-000, MG, Brazil
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).