Geodesic
Combination and mean width rearrangements of solutions to elliptic equations in convex sets
Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 4, pp. 763-783
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We introduce a method to compare solutions of different equations in different domains. As a consequence, we define a new kind of rearrangement which applies to solution of fully nonlinear equations F(x,u,Du,D 2 u)=0, not necessarily in divergence form, in convex domains and we obtain Talenti's type results for this kind of rearrangement.

DOI : 10.1016/j.anihpc.2014.04.001
Keywords: Rearrangements, Elliptic equations, Infimal convolution, Power concave envelope, Minkowski addition of convex sets 
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     author = {Salani, Paolo},
     title = {Combination and mean width rearrangements of solutions to elliptic equations in convex sets},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {763--783},
     year = {2015},
     publisher = {Elsevier},
     volume = {32},
     number = {4},
     doi = {10.1016/j.anihpc.2014.04.001},
     mrnumber = {3390083},
     zbl = {1321.35048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.04.001/}
}
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Salani, Paolo. Combination and mean width rearrangements of solutions to elliptic equations in convex sets. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 4, pp. 763-783. doi: 10.1016/j.anihpc.2014.04.001

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