INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
Magnetic fractional order Orlicz–Sobolev spaces
Autor/es:
FERNÁNDEZ BONDER, JULIÁN; SALORT, ARIEL M.
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Año: 2021 vol. 259 p. 1 - 24
ISSN:
0039-3223
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.
