In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a Leray-Lions operator defined on W^{1,p}_0 (Ω), and H (x, u, Du) grows with respect to Du at most like |Du|^q, p-1 <= q <= p. Comparison results are obtained between the rearrangement of a solution u of Dirichlet problem quoted above and the rearrangement of the solution of a problem whose data are radially symmetric.

Comparison and existence results for classes of nonlinear elliptic equations with general growth in the gradient

FERONE, VINCENZO;MESSANO, BASILIO
2007

Abstract

In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a Leray-Lions operator defined on W^{1,p}_0 (Ω), and H (x, u, Du) grows with respect to Du at most like |Du|^q, p-1 <= q <= p. Comparison results are obtained between the rearrangement of a solution u of Dirichlet problem quoted above and the rearrangement of 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/11588/104532
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