Existence results for one‐dimensional fractional equations

By Marek A. Galewski, Giovanni Molica Bisci. 2014

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In this note, a critical point result for differentiable functionals is exploited in order to prove that a suitable class of one‐dimensional fractional problems admits at least one non‐trivial solution under an asymptotical behaviour of the nonlinear datum at zero. A concrete example of an application is then presented. Copyright © 2015 John Wiley & Sons, Ltd.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/a95c379b944ef81fff5c748d360560e669637e59