INVESTIGADORES
LEDERMAN Claudia Beatriz
artículos
Título:
Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p(x)-Laplacian
Autor/es:
LEDERMAN, CLAUDIA; WOLANSKI, NOEMÍ
Revista:
INTERFACES AND FREE BOUNDARIES
Editorial:
EUROPEAN MATHEMATICAL SOC
Referencias:
Lugar: Zürich; Año: 2017 vol. 19 p. 201 - 241
ISSN:
1463-9963
Resumen:
In this paper we study a one phase free boundaryproblem for the $p(x)$-Laplacian with non-zero right hand side.We prove that the free boundary of a weaksolution is a $C^{1,alpha}$ surface in a neighborhood of every``flat´´ free boundary point.We also obtain further regularity results on the free boundary,under further regularity assumptions on the data.We apply these results to limit functions of an inhomogeneoussingular perturbation problem for the $p(x)$-Laplacian that westudied in cite{LW4}.