Positive solutions of nonlinear Robin eigenvalue problems
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- by Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu
- Proc. Amer. Math. Soc. 144 (2016), 4913-4928
- DOI: https://doi.org/10.1090/proc/13107
- Published electronically: April 20, 2016
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Abstract:
We consider a nonlinear eigenvalue problem driven by the $p$- Laplacian with Robin boundary condition. Using variational methods and truncation techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter $\lambda$ varies. We also produce extremal positive solutions and study their properties.References
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Bibliographic Information
- Nikolaos S. Papageorgiou
- Affiliation: Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece
- MR Author ID: 135890
- Email: npapg@math.ntua.gr
- Vicenţiu D. Rădulescu
- Affiliation: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia — and — Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
- MR Author ID: 143765
- ORCID: 0000-0003-4615-5537
- Email: vicentiu.radulescu@math.cnrs.fr
- Received by editor(s): May 26, 2015
- Received by editor(s) in revised form: January 9, 2016, and January 21, 2016
- Published electronically: April 20, 2016
- Communicated by: Catherine Sulem
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4913-4928
- MSC (2010): Primary 35J66, 35J92
- DOI: https://doi.org/10.1090/proc/13107
- MathSciNet review: 3544539