Alessio Fiscella, Eugenio Vecchi
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
.
In particular, we consider
where
is a real parameter and
is an
open and bounded set with Lipschitz boundary.
Submitted April 6, 2018. Published August 13, 2018.
Math Subject Classifications: 35R11, 35Q60, 35A15, 35B33.
Key Words: Fractional magnetic operators; critical nonlinearities;
variational methods.
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Alessio Fiscella Departamento de Matemática Universidade Estadual de Campinas, IMECC Rua Sérgio Buarque de Holanda 651 Campinas, SP CEP 13083-859 Brazil email: fiscella@ime.unicamp.br |
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Eugenio Vecchi Dipartimento di Matematica Sapienza Universitá di Roma P.le Aldo Moro 5, 00185, Roma, Italy email: vecchi@mat.uniroma1.it |
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