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Positive solutions for singular nonlinear elliptic equations

Published online by Cambridge University Press:  24 July 2008

Jesús Hernández ,
Francisco J. Mancebo  and
José M. Vega
Jesús Hernández
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
Francisco J. Mancebo
Affiliation:
ETSI Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain (vega@fmetsia.upm.es)
José M. Vega
Affiliation:
ETSI Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain (vega@fmetsia.upm.es)
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Abstract

This paper deals with singular semilinear elliptic equations in bounded domains with Dirichlet boundary data. The elliptic operator is a second-order operator not necessarily in divergence form. We consider existence, uniqueness and linearized stability of positive solutions for a series of nonlinear eigenvalue problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 1 , February 2007 , pp. 41 - 62
Copyright
2007 Royal Society of Edinburgh

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