Calculus of Variations and Geometric Measure Theory
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A. Fiscella - A. Pinamonti - E. Vecchi

Multiplicity results for magnetic fractional problems

created by pinamonti on 28 Mar 2017

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Submitted Paper

Inserted: 28 mar 2017
Last Updated: 28 mar 2017

Year: 2017

Abstract:

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.


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