Title of article
Properties of the positive solution of a semilinear elliptic partial differential equation in Rn
Author/Authors
Nawel Benouhiba، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
5
From page
577
To page
581
Abstract
A positive solution of a semilinear elliptic partial differential equation over the whole of RnRn is shown to be a regular decay function, i.e. View the MathML sourceu¯∈C2 and View the MathML sourcelim|x|→+∞u¯(x)=0, by means of the Sobolev embedding theorem and a bootstrap argument.
Keywords
Weighted Sobolev space , semilinear elliptic equation , Regularity , Positive decay solution
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860043
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