Neumann problems with indefinite and unbounded potential and concave terms
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- by Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu PDF
- Proc. Amer. Math. Soc. 143 (2015), 4803-4816 Request permission
Abstract:
We consider a semilinear parametric Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential. The reaction is asymptotically linear and exhibits a negative concave term near the origin. Using variational methods together with truncation and perturbation techniques and critical groups, we show that for all small values of the parameter the problem has at least five nontrivial solutions, four of which have constant sign.References
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Additional 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 80302, 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): February 3, 2014
- Received by editor(s) in revised form: August 2, 2014
- Published electronically: April 10, 2015
- Communicated by: Catherine Sulem
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4803-4816
- MSC (2010): Primary 35J20; Secondary 35J60, 58E05
- DOI: https://doi.org/10.1090/proc/12600
- MathSciNet review: 3391038