Topological Methods in Nonlinear Analysis

Strongly resonant Robin problems with idefinite and unbounded potential

Nikolaos S. Papageorgiou and George Smyrlis

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We consider a Robin boundary value problem driven by the Laplacian plus an indefinite and unbounded potential. We assume that the reaction term of the equation is resonant with respect to the principal eigenvalue and the resonance is strong. Using primarily variational tools we prove two multiplicity theorems producing respectively two and three nontrivial smooth solutions.

Article information

Topol. Methods Nonlinear Anal., Volume 49, Number 2 (2017), 511-527.

First available in Project Euclid: 14 March 2017

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Papageorgiou, Nikolaos S.; Smyrlis, George. Strongly resonant Robin problems with idefinite and unbounded potential. Topol. Methods Nonlinear Anal. 49 (2017), no. 2, 511--527. doi:10.12775/TMNA.2016.085.

Export citation