Uniqueness results for nonlinear elliptic problems with two lower order terms
type: Item
instance of: scholarly article
title: Uniqueness results for nonlinear elliptic problems with two lower order terms
zbMATH Open document ID: 1266.35062
author: Rosaria Di Nardo
author: Adamaria Perrotta
published in: Bulletin des Sciences Mathématiques
publication date: 2013-03-15T00:00:00Z
review text: The authors consider Dirichlet problems for nonlinear elliptic equations of the form \[ \begin{cases} -\text{div\,}\big({\mathbf a}(x,\nabla u) +\pmb\Phi(x,u)\big)+H(x,\nabla u) =f & \text{in}\;\Omega\\ u=0 & \text{on}\;\partial\Omega, \end{cases} \] where \(\Omega\subset \mathbb R^N\) is a bounded open subset, \(N>2\) and \(f\in L^1(\Omega).\) Under suitable structural conditions on \({\mathbf a},\) \(\pmb\Phi\) and \(H\) (some of these natural) uniqueness results are derived via rearrangement techniques for the solutions obtained as limit of approximations.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 6145427
zbMATH Keywords: rearrangements
zbMATH Keywords: nonlinear equations
zbMATH Keywords: uniqueness results
MaRDI profile type: Publication
full work available at URL: j.bulsci.2012.03.004
OpenAlex ID: W2089832976
DOI: 10.1016/J.BULSCI.2012.03.004
description: scientific article; zbMATH DE number 6145427