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AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR

Published online by Cambridge University Press:  01 July 2004

José Carmona  and
Antonio Suárez
José Carmona
Affiliation:
Departamento de Algebra y Análisis Matemático, Facultad de Ciencias, Cañada de San Urbano, Almería, Spain ([email protected])
Antonio Suárez
Affiliation:
Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Sevilla, Spain ([email protected])
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Abstract

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In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with an operator that is not necessarily bounded. For that, we use the bifurcation theory and obtain the existence of positive solutions for a range of values of the bifurcation parameter.

AMS 2000 Mathematics subject classification: Primary 35J60; 35J25. Secondary 35D05

Keywords

bifurcationpositive solutionsnon-bounded quasilinear operatoreigenvalue problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 2 , June 2004 , pp. 353 - 363
Copyright
Copyright © Edinburgh Mathematical Society 2004