Calculus of Variations and Geometric Measure Theory

A. Fiscella - A. Pinamonti - E. Vecchi

Multiplicity results for magnetic fractional problems

created by pinamonti on 28 Mar 2017
modified on 25 May 2017


Accepted Paper

Inserted: 28 mar 2017
Last Updated: 25 may 2017

Journal: Journal of Differential Equations
Year: 2017


The paper deals with the existence of multiple solutions for a boundary value problem driven by the magnetic fractional Laplacian $(-\Delta)_{A}^{s}$ We prove that the problem admits at least two nontrivial weak solutions under two different sets of conditions on the nonlinear term $f$ which are dual in a suitable sense.