A symmetrization result for nonlinear elliptic equations.

Ferone, Vincenzo, and Messano, Basilio. "A symmetrization result for nonlinear elliptic equations.." Revista Matemática Complutense 17.2 (2004): 261-276. <http://eudml.org/doc/44527>.

@article{Ferone2004,
abstract = {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 W01,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.},
author = {Ferone, Vincenzo, Messano, Basilio},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales elípticas; Ecuaciones en derivadas parciales no lineales; Problemas de valor de frontera; Problema de Dirichlet},
language = {eng},
number = {2},
pages = {261-276},
title = {A symmetrization result for nonlinear elliptic equations.},
url = {http://eudml.org/doc/44527},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Ferone, Vincenzo
AU - Messano, Basilio
TI - A symmetrization result for nonlinear elliptic equations.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 2
SP - 261
EP - 276
AB - 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 W01,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.
LA - eng
KW - Ecuaciones diferenciales elípticas; Ecuaciones en derivadas parciales no lineales; Problemas de valor de frontera; Problema de Dirichlet
UR - http://eudml.org/doc/44527
ER -