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Published in:
2007 | OriginalPaper | Chapter
Boundary Value Problems for Nonlinear Ordinary Differential Equations
Published in: The Maximum Principle
Publisher: Birkhäuser Basel
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Here we begin the study of the strong maximum principle and the compact support principle for divergence structure inequalities, especially of the canonical form
4.1.1
$$ div\left\{ {A\left( {\left| {Du} \right|} \right)\left. {Du} \right)} \right\} - f\left( u \right) \leqslant 0,u \geqslant 0. $$
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.