INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
An extension of a Theorem of V. Sverák to variable exponent spaces
Autor/es:
C. BARONCINI; J. FERNÁNDEZ BONDER
Revista:
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Editorial:
AMER INST MATHEMATICAL SCIENCES
Referencias:
Lugar: springfield; Año: 2015
ISSN:
1534-0392
Resumen:
In 1993, V. Sverak proved that if a sequence of uniformly bounded domains is such that they converge to a limiting domain in the sense of the Hausdorff complementary topology, and verify that the numberof connected components of its complements are bounded, then the solutions of the Dirichletproblem for the Laplacian with a fixed source f converges to the solution of the limit domainwith same source. In this paper, we extend Sverak result to variable exponent spaces.