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Volume 4, Issue 5, Article 106 |
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Linear Elliptic Equations and Gauss Measure
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Authors: |
G. di Blasio, |
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Keywords:
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Linear elliptic equation, Comparison theorem, Rearrangements of functions, Gauss measure. |
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Date Received:
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20/02/03 |
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Date Accepted:
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30/06/03 |
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Subject Codes: |
35B05, 35J70.
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Editors: |
Alberto Fiorenza, |
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Abstract: |
In this paper we study a Dirichlet problem relative to a linear elliptic equation with lower-order terms, whose ellipticity condition is given in terms of the function   , the density in the Gaussian measure. Using the notion of rearrangement with respect to the Gauss measure, we prove a comparison result with a problem of the same type defined in a half space, with data depending only on the first variable.
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