Existence Results for a Non Coercive Homogeneous Nonlinear Elliptic Equation
Journal of convex analysis, Tome 19 (2012) no. 3, pp. 795-813
Cet article a éte moissonné depuis la source Heldermann Verlag
\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.
Classification :
35J70, 35J15, 49K20
Mots-clés : Lipschitz, nonlinear, degenerate, elliptic, pde, convex
Mots-clés : Lipschitz, nonlinear, degenerate, elliptic, pde, convex
@article{JCA_2012_19_3_JCA_2012_19_3_a8,
author = {C. Mariconda},
title = {Existence {Results} for a {Non} {Coercive} {Homogeneous} {Nonlinear} {Elliptic} {Equation}},
journal = {Journal of convex analysis},
pages = {795--813},
year = {2012},
volume = {19},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a8/}
}
C. Mariconda. Existence Results for a Non Coercive Homogeneous Nonlinear Elliptic Equation. Journal of convex analysis, Tome 19 (2012) no. 3, pp. 795-813. http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a8/