Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
Seminar Abstracts
Jose Miguel Urbano, Departamento de Matematicia, Universidade de CoimbraAbstract: We study the Dirichlet problem for the p(x)-Laplacian, in the case when the variable exponent is infinite in a subdomain . The main issue is to give a proper sense to what a solution is. To this end, we consider the limit of the solutions to the corresponding problem when , in particular, with in . Under suitable assumptions on the data, we find that such a limit exists and that it can be characterized as the unique solution of a variational minimization problem. Moreover, we examine this limit in the viscosity sense and find an equation it satisfies. TUESDAY, February 3, 2009 |