Topological Methods in Nonlinear Analysis

Infinitely many positive solutions of fractional boundary value problems

Bin Ge, Vicențiu D. Rădulescu, and Ji-Chun Zhang

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 are concerned with the qualitative analysis of solutions of a class of fractional boundary value problems with Dirichlet boundary conditions. By combining a direct variational approach with the theory of the fractional derivative spaces, we establish the existence of infinitely many distinct positive solutions whose $E^\alpha$-norms and $L^\infty$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).

Article information

Topol. Methods Nonlinear Anal., Volume 49, Number 2 (2017), 647-664.

First available in Project Euclid: 10 March 2017

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Ge, Bin; Rădulescu, Vicențiu D.; Zhang, Ji-Chun. Infinitely many positive solutions of fractional boundary value problems. Topol. Methods Nonlinear Anal. 49 (2017), no. 2, 647--664. doi:10.12775/TMNA.2017.001.

Export citation