Proceedings of the American Mathematical Society

On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem

Author(s): Manuel Delgado; Antonio Suárez
Journal: Proc. Amer. Math. Soc. 132 (2004), 1721-1728.
MSC (2000): Primary 35J65; Secondary 35B32, 35P30
Posted: January 20, 2004
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Abstract: This paper is concerned with the existence, uniqueness and/or multiplicity, and stability of positive solutions of an indefinite weight elliptic problem with concave or convex nonlinearity. We use mainly bifurcation methods to obtain our results.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J65, 35B32, 35P30

Manuel Delgado
Affiliation: Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. Matemáticas, C/. Tarfia s/n, C.P. 41012, Universidad de Sevilla, Spain
Email: madelgado@us.es

Antonio Suárez
Affiliation: Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. Matemáticas, C/. Tarfia s/n, C.P. 41012, Universidad de Sevilla, Spain
Email: suarez@us.es

DOI: 10.1090/S0002-9939-04-07233-8
PII: S 0002-9939(04)07233-8
Keywords: Indefinite weight elliptic problem, nonlinear eigenvalue problem, bifurcation method
Received by editor(s): August 20, 2002 and in revised form, January 24, 2003
Posted: January 20, 2004
Additional Notes: The authors thank the Spanish Ministry of Science and Technology for research support under grant BFM2000-0797.
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2004, American Mathematical Society

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