Problems in the Whole Space

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


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
$$ - div\left( {A\left( x \right)\nabla u} \right) + a\left( x \right)u = 0 in \mathbb{R}^n . $$


Weak Solution Harmonic Function Maximum Principle Elliptic Equation Nontrivial Solution 
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© Birkhäuser Verlag AG 2009

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