We consider a solution u of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = g(x,u) + f, where the principal term is a Leray-Lions operator defined on W0 1,p (Ω). The function g(x,u) satisfies suitable growth assumptions, but no sign hypothesis on it is assumed. We prove that the rearrangement of u can be estimated by the solution of a problem whose data are radially symmetric.
@article{urn:eudml:doc:44527,
title = {A symmetrization result for nonlinear elliptic equations.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {17},
year = {2004},
pages = {261-276},
zbl = {1097.35049},
mrnumber = {MR2083955},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44527}
}
Ferone, Vincenzo; Messano, Basilio. A symmetrization result for nonlinear elliptic equations.. Revista Matemática de la Universidad Complutense de Madrid, Tome 17 (2004) pp. 261-276. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44527/