DOI: 10.68381/jca19041 ISSN: 0944-6532
Existence Results for a Non Coercive Homogeneous Nonlinear Elliptic Equation
Carlo Mariconda
Let
a:\mathbb{R}^n\to{\mathbb{R}}^n
a
:
R
n
→
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
a
(
∇
u
)
=
0
when the Lipschitz boundary datum fulfills some recent unilateral Bounded Slope Conditions.