Abstract
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).
Citation
Bin Ge. Vicențiu D. Rădulescu. Ji-Chun Zhang. "Infinitely many positive solutions of fractional boundary value problems." Topol. Methods Nonlinear Anal. 49 (2) 647 - 664, 2017. https://doi.org/10.12775/TMNA.2017.001
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