Bifurcation and multiplicity results for critical magnetic fractional problems
Date
2018-08-13
Authors
Fiscella, Alessio
Vecchi, Eugenio
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the bifurcation phenomena and the existence of multiple solutions for a non-local boundary value problem driven by the magnetic fractional Laplacian (-∆)sA. In particular, we consider
(-∆)sAu = λu + |u|2*s-2u in Ω, u = 0 in ℝn \ Ω,
where λ is a real parameter and Ω ⊂ ℝn is an open and bounded set with Lipschitz boundary.
Description
Keywords
Fractional magnetic operators, Critical nonlinearities, Variational methods
Citation
Fiscella, A., & Vecchi, E. (2018). Bifurcation and multiplicity results for critical magnetic fractional problems. <i>Electronic Journal of Differential Equations, 2018</i>(153), pp. 1-18.
Rights
Attribution 4.0 International