Singular nonlinear elliptic equations in Rn

C. O. Alves, J. V. Goncalves and L. A. Maia

Abstract and Applied Analysis, 1998, vol. 3, issue 3-4, 411-423

Abstract: This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu + a(x)u = h(x)u−γ in Rn where a, h are given, not necessarily continuous functions, and γ is a positive number. We explore both situations where a, h are radial functions, with a being eventually identically zero, and cases where no symmetry is required from either a or h. Schauder′s fixed point theorem, combined with penalty arguments, is exploited.

Date: 1998
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https://doi.org/10.1155/S1085337598000633

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:3:y:1998:i:3-4:p:411-423

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