STUDY OF A SECOND-ORDER NONLINEAR ELLIPTIC PROBLEM GENERATED BY A DIVERGENCE TYPE OPERATOR ON A COMPACT RIEMANNIAN MANIFOLD
Abstract
In this paper, we will study a second-order nonlinear elliptic problem generated by an operator of divergence type (or type leray-Lion)
\[(P1)\left\{
\begin{array}{ll}
A(u) = f\quad in \quad M \\
u=0 \quad on\quad \varGamma
\end{array}
\right.
\]
on $ (M,g) $ a compact Riemannian manifold et $\varGamma$ its border.
\[(P1)\left\{
\begin{array}{ll}
A(u) = f\quad in \quad M \\
u=0 \quad on\quad \varGamma
\end{array}
\right.
\]
on $ (M,g) $ a compact Riemannian manifold et $\varGamma$ its border.
Refbacks
- There are currently no refbacks.