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Existence of positive radial solutions for a class of nonlinear singular elliptic problems in annular domains

Published online by Cambridge University Press:  20 January 2009

Zongming Guo
Zongming Guo
Affiliation:
Department of MathematicsUniversity of GlasgowGlasgow G12 8QWScotland Henan Normal UniversityXinxiangP.R.China
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We establish the existence of positive radially symmetric solutions of Δu + f(r, u, u′) = 0 in the domain R1 <r<R0 with a variety of Dirichlet and Neumann boundary conditions. The function f is allowed to be singular when either u = 0 or u′ = 0. Our analysis is based on Leray-Schauder degree theory.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 405 - 418
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

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