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 W^{1,p}_0(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.

A symmetrization result for nonlinear elliptic equations

FERONE, VINCENZO;MESSANO, BASILIO
2004

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 W^{1,p}_0(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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/203174
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