Critical singular problems on unbounded domains

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

Abstract and Applied Analysis, 2005, vol. 2005, 1-15

Abstract:

We present some results of existence for the following problem: − Δ u = a ( x ) g ( u ) + u | u | 2 ∗ − 2 , x ∈ ℝ N ( N ≥ 3 ) , u ∈ D 1 , 2 ( ℝ N ) , 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 ∗ = 2 N / ( N − 2 ) .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:423151

DOI: 10.1155/AAA.2005.639

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