The paper deals with the existence of multiple solutions for a boundary value problem driven by the magnetic fractional Laplacian. 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.
Multiplicity results for magnetic fractional problems / Fiscella, Alessio; Pinamonti, Andrea; Vecchi, Eugenio. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 263:8(2017), pp. 4617-4633. [10.1016/j.jde.2017.05.028]
Multiplicity results for magnetic fractional problems
Vecchi, Eugenio
2017
Abstract
The paper deals with the existence of multiple solutions for a boundary value problem driven by the magnetic fractional Laplacian. 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.File allegati a questo prodotto
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