Boundary Value Problems for Nonlinear Ordinary Differential Equations

Abstract

Here we begin the study of the strong maximum principle and the compact support principle for divergence structure inequalities, especially of the canonical form

$$ div\left\{ {A\left( {\left| {Du} \right|} \right)\left. {Du} \right)} \right\} - f\left( u \right) \leqslant 0,u \geqslant 0. $$

(4.1.1)

In general, the results described cannot be obtained from the nonlinear theorems of the previous chapters, since equation (4.1.1) has specialized properties which are crucially used.