Combination and mean width rearrangements of solutions to elliptic equations in convex sets

Salani, Paolo

Salani, Paolo

Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015), p. 763-783 / Harvested from Numdam

Résumé

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 $F (x, u, D u, D^{2} u) = 0$ , not necessarily in divergence form, in convex domains and we obtain Talenti's type results for this kind of rearrangement.

Publié le : 2015-01-01

MR 3390083 | Zbl 1321.35048

DOI : https://doi.org/10.1016/j.anihpc.2014.04.001

@article{AIHPC_2015__32_4_763_0,
     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},
     volume = {32},
     year = {2015},
     pages = {763-783},
     doi = {10.1016/j.anihpc.2014.04.001},
     mrnumber = {3390083},
     zbl = {1321.35048},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2015__32_4_763_0}
}

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) pp. 763-783. doi : 10.1016/j.anihpc.2014.04.001. http://gdmltest.u-ga.fr/item/AIHPC_2015__32_4_763_0/

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