Quasilinear elliptic equations with small boundary data

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

It is shown that if the order of non-uniformity of a quasilinear elliptic equation is h, 1<h≤2, then the critical norm separating existence and non-existence of a solution to the Dirichlet problem with small boundary data is the {Mathematical expression} norm. For 0≤h≤1, existence of a solution is guaranteed without any smallness assumption on the given boundary data, provided that the usual a priori interior gradient bound for solution is available.

Original languageEnglish
Pages (from-to)77-99
Number of pages23
JournalManuscripta Mathematica
Volume53
Issue number1-2
DOIs
Publication statusPublished - 1 Feb 1985
Externally publishedYes

Fingerprint

Quasilinear Elliptic Equation
Norm
Non-uniformity
Dirichlet Problem
Nonexistence
Interior
Gradient

Cite this

@article{bb08dccc401e4a8999cd4a700df59388,
title = "Quasilinear elliptic equations with small boundary data",
abstract = "It is shown that if the order of non-uniformity of a quasilinear elliptic equation is h, 1",
author = "Lau, {Chi ping}",
year = "1985",
month = "2",
day = "1",
doi = "10.1007/BF01174012",
language = "English",
volume = "53",
pages = "77--99",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer",
number = "1-2",

}

Quasilinear elliptic equations with small boundary data. / Lau, Chi ping.

In: Manuscripta Mathematica, Vol. 53, No. 1-2, 01.02.1985, p. 77-99.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Quasilinear elliptic equations with small boundary data

AU - Lau, Chi ping

PY - 1985/2/1

Y1 - 1985/2/1

N2 - It is shown that if the order of non-uniformity of a quasilinear elliptic equation is h, 1

AB - It is shown that if the order of non-uniformity of a quasilinear elliptic equation is h, 1

UR - http://www.scopus.com/inward/record.url?scp=0040411524&partnerID=8YFLogxK

U2 - 10.1007/BF01174012

DO - 10.1007/BF01174012

M3 - Article

VL - 53

SP - 77

EP - 99

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 1-2

ER -