Geodesic
Comparison results for elliptic variational inequalities related to Gauss measure
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we study linear elliptic variational inequalities that are defined on a possibly unbounded domain and whose ellipticity condition is given in terms of the density of Gauss 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.
Classification : 35J86, 35J70, 35B45
Keywords: comparison results, rearrangements, Gauss measure, elliptic variational inequality 
@article{EJDE_2015__2015__a3,
     author = {Tian,  Yujuan and Ma,  Chao},
     title = {Comparison results for elliptic variational inequalities related to {Gauss} measure},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1488.35259},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a3/}
}
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Tian,  Yujuan; Ma,  Chao. Comparison results for elliptic variational inequalities related to Gauss measure. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a3/