Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 19 (2012), No. 3, 795--813Copyright Heldermann Verlag 2012 Existence Results for a Non Coercive Homogeneous Nonlinear Elliptic Equation Carlo Mariconda Dipartimento di Matematica, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy maricond@math.unipd.it [Abstract-pdf] \newcommand{\R}{\mathbb{R}} Let $a:\R^n\to\R^n$ be monotonic, but unnecessarily strictly monotonic. We study the existence of Lipschitz or locally Lipschitz solutions to the equation div$\,a(\nabla u) = 0$ when the Lipschitz boundary datum fulfills some recent unilateral Bounded Slope Conditions. Keywords: Lipschitz, nonlinear, degenerate, elliptic, pde, convex. MSC: 35J70, 35J15, 49K20 [ Fulltext-pdf  (174  KB)] for subscribers only.