Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane
type: Item
instance of: scholarly article
title: Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane
zbMATH Open document ID: 0712.35034
DOI: 10.1007/BF00945812
author: Giovanni Alessandrini
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1989-01-01T00:00:00Z
review text: Estimates are given for the length of level curves of solutions of certain quasilinear elliptic PDE's in plane annuli. The equations are of the type \(div(a(| \nabla u|)\nabla u)=0\), and they include the p- Laplace and the nonparametric minimal surface equation. The annuli are of general type with no convexity or star shapedness requirements.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 4171482
zbMATH Keywords: isoperimetric inequalities
zbMATH Keywords: length of level curves
zbMATH Keywords: minimal surface equation
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00945812
OpenAlex ID: W1977785593
description: scientific article; zbMATH DE number 4171482