Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
type: Item
instance of: scholarly article
title: Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
zbMATH Open document ID: 1059.35040
DOI: 10.1007/BF02392645
author: James Serrin
author: Henghui Zou
published in: Acta Mathematica
publication date: 2002-01-01T00:00:00Z
review text: The paper has essentially two main goals. The first one is to prove Liouville type results for degenerate problems of the type \[ \Delta_mu + f(u) = 0, \;\;u\geq 0 \] in a connected open set, considering also in particular the case \[ f(u) = u^{p-1},\;p>1. \] The second one is to derive universal estimates for the solutions of the previous problem, where universal means in particular independent from boundary conditions.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1881296
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: Liouville type properties
zbMATH Keywords: a priori estimates
reviewed by: Marco Biroli
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1881296