A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
type: Item
instance of: scholarly article
title: A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
zbMATH Open document ID: 1206.35265
author: Lorenzo D'Ambrosio
author: Enzo Mitidieri
published in: Advances in Mathematics
publication date: 2010-05-26T00:00:00Z
review text: The authors obtain local a priori estimates and related nonexistence theorems for weak solutions of a wide class of quasilinear elliptic inequalities for not necessarily power nonlinearities in a framework which includes as special cases sub-elliptic structures and Carnot groups. Also, they study quasilinear elliptic inequalities associated to differential operators which satisfy some special hypotheses and without assuming the nonlinearities and the solutions have a prescribed sign. Finally, they present some well known facts in Carnot and Heisenberg groups and some examples of operators for which, their results for differential inequalities can be applied.
reviewed by: Mohammed Bouchekif
Mathematics Subject Classification ID: 35R45
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 42B37
zbMATH DE Number: 5712550
zbMATH Keywords: Heisenberg group
zbMATH Keywords: quasilinear operators
zbMATH Keywords: a priori estimate
zbMATH Keywords: Liouville theorem
zbMATH Keywords: positivity
zbMATH Keywords: elliptic inequality
zbMATH Keywords: Carnot group
MaRDI profile type: Publication
full work available at URL: j.aim.2009.12.017
OpenAlex ID: W2002889170
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A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (DOI)
DOI: 10.1016/J.AIM.2009.12.017