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Radially symmetric solutions of a class of singular elliptic equations

Published online by Cambridge University Press:  20 January 2009

Juan A. Gatica ,
Gaston E. Hernandez  and
P. Waltman
Juan A. Gatica
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, U.S.A.
Gaston E. Hernandez
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, U.S.A.
P. Waltman
Affiliation:
Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322, U.S.A.
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Abstract

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The boundary value problem

is studied with a view to obtaining the existence of positive solutions in C1([0, 1])∩C2((0, 1)). The function f is assumed to be singular in the second variable, with the singularity modeled after the special case f(x, y) = a(x)y−p, p>0.

This boundary value problem arises in the search of positive radially symmetric solutions to

where Ω is the open unit ball in ℝN, centered at the origin, Γ is its boundary and |x| is the Euclidean norm of x.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 2 , June 1990 , pp. 169 - 180
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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