Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Authors: Manuel Delgado and Antonio Suárez
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1721-1728
MSC (2000): Primary 35J65; Secondary 35B32, 35P30
Published electronically: January 20, 2004
MathSciNet review: 2051133
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

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

Retrieve articles in all journals with MSC (2000): 35J65, 35B32, 35P30


Additional Information

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: http://dx.doi.org/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
Received by editor(s) in revised form: January 24, 2003
Published electronically: 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
Article copyright: © Copyright 2004 American Mathematical Society