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Boundary Value Problems for Nonlinear Ordinary Differential Equations

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 73)

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.

Keywords

Nonlinear Equation Existence Theorem Radial Solution Nonlinear Ordinary Differential Equation Previous Chapter 
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Copyright information

© Birkhäuser Verlag AG 2007

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