Open Access
2017 Resonant Robin problems with indefinite and unbounded potential
Nikolaos S. Papageorgiou, George Smyrlis
Topol. Methods Nonlinear Anal. 49(1): 51-74 (2017). DOI: 10.12775/TMNA.2016.062


We study a semilinear Robin problem with an indefinite and unbounded potential and a reaction term which asymptotically at $\pm \infty $ is resonant with respect to any nonprincipal nonnegative eigenvalue. We prove two multiplicity theorems producing three and four nontrivial solutions respectively. Our approach uses variational methods based on the critical point theory, truncation and perturbation techniques, and Morse theory (critical groups).


Download Citation

Nikolaos S. Papageorgiou. George Smyrlis. "Resonant Robin problems with indefinite and unbounded potential." Topol. Methods Nonlinear Anal. 49 (1) 51 - 74, 2017.


Published: 2017
First available in Project Euclid: 11 April 2017

zbMATH: 1380.35102
MathSciNet: MR3635637
Digital Object Identifier: 10.12775/TMNA.2016.062

Rights: Copyright © 2017 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.49 • No. 1 • 2017
Back to Top