In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u)= H(x, u,Du)+g(x, u), where the principal term is a Leray–Lions operator defined onW1,p^0 (). 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.
Symmetrization results for classes of nonlinear elliptic equations with $q$-growth in the gradient / Messano, Basilio. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 64:12(2006), pp. 2688-2703.
Symmetrization results for classes of nonlinear elliptic equations with $q$-growth in the gradient
MESSANO, BASILIO
2006
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)+g(x, u), where the principal term is a Leray–Lions operator defined onW1,p^0 (). 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 in questo prodotto:
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