Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleThe behavior of the free boundary near the fixed boundary for a minimization problem.AuthorsKarakhanyan, A.; Kenig, C.; Shahgholian, H.AbstractWe show that the free boundary ∂{ u > 0}, arising from the minimizer(s) u, of the functional approaches the (smooth) fixed boundary ∂Ω tangentially, at points where the Dirichlet data vanishes along with its gradient.SubjectsBOUNDARY value problems; DIRICHLET problem; PARTIAL differential equations; CALCULUS of variations; MATHEMATICAL modelsPublicationCalculus of Variations & Partial Differential Equations, 2007, Vol 28, Issue 1, p15ISSN0944-2669Publication typeArticleDOI10.1007/s00526-006-0029-x