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Problems in the Whole Space

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)

Abstract

We would like to consider here elliptic equations set in the whole R n . For instance if A is a positive definite matrix and a a nonnegative function we are going to consider the equation
$$ - div\left( {A\left( x \right)\nabla u} \right) + a\left( x \right)u = 0 in \mathbb{R}^n . $$
(1)

Keywords

Weak Solution Harmonic Function Maximum Principle Elliptic Equation Nontrivial Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2009

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