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Multiplicity of positive solutions for a singular and critical problem

✍ Scribed by J. Giacomoni; K. Saoudi

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
881 KB
Volume
71
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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In this paper, we deal with the conditions that ensure the existence of positive solutions for the singular elliptic equation -Au-tt(u/Ixl 2) = (lup\*(s)-2/Ixp)u + Nulq-2u with Dirichlet boundary condition. The results depend crucially on the parameters A, ~, and q.

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We deal with the existence of solution for the nonlinear elliptic problem is a suitable function and Ξ» > 0 is a real parameter. The nonlinearity f is allowed to behave like either f (x, s) sβ†’0 -β†’ ∞ and/or f (x, s) sβ†’βˆž -β†’ ∞ for each x ∈ Ω.