A symmetrization result for nonlinear elliptic equations
type: Item
instance of: scholarly article
title: A symmetrization result for nonlinear elliptic equations
zbMATH Open document ID: 1097.35049
published in: Revista Matemática Complutense
publication date: 2004-10-25T00:00:00Z
full work available at URL: https://eudml.org/doc/44527
review text: The authors consider the following problem \[ -\Delta_pu=c|u|^{p-2}u+f\text{ in }\Omega\qquad u=0\text{ on }\partial\Omega,\tag{1} \] where \(\Delta_p\) is the \(p\)-Laplacian operator, \(p>1\), and \(c,f\) are bounded given functions. Under some natural assumptions on the data of (1), the authors prove that the rearrangement of \(u\) can be estimated by the solution of a problem whose data are radially symmetric.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 2109936
author: Vincenzo Ferone
author: Basilio Messano
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
OpenAlex ID: W2135463380
DOI: 10.5209/REV_REMA.2004.V17.N2.16718
description: scientific article; zbMATH DE number 2109936