Critical singular problems on unbounded domains

D. C. de Morais Filho and O. H. Miyagaki

Abstract and Applied Analysis, 2005, vol. 2005, issue 6, 639-653

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).

Date: 2005
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https://doi.org/10.1155/AAA.2005.639

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:6:p:639-653

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