info:eu-repo/semantics/article
Magnetic fractional order orlicz-sobolev spaces
Fecha
2021-01Registro en:
Fernandez Bonder, Julian; Salort, Ariel Martin; Magnetic fractional order orlicz-sobolev spaces; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 259; 1; 1-2021; 1-24
0039-3223
1730-6337
CONICET Digital
CONICET
Autor
Fernandez Bonder, Julian
Salort, Ariel Martin
Resumen
We define the notion of nonlocal magnetic Sobolev spaces with nonstandard growth for Lipschitz magnetic fields. In this context we prove a Bourgain-Brezis- Mironescu type formula for functions in this space as well as for sequences of functions. Finally, we deduce some consequences such as the Γ-convergence of modulars and convergence of solutions for some nonlocal magnetic Laplacian allowing nonstandard growth laws to its local counterpart.