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. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 7:(2007), pp. 31-46.
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.| File | Dimensione | Formato | |
|---|---|---|---|
|
Estratti-Comparison and Existence Results...Ferone-Messano.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso privato/ristretto
Dimensione
248.8 kB
Formato
Adobe PDF
|
248.8 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
