Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations

Norayr Matevosyan; Peter A. Markowich

doi:10.1007/s00605-004-0243-6

Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations

Norayr Matevosyan^*, Peter A. Markowich

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The aim of this paper is to study a free boundary problem for a uniformly elliptic fully non-linear operator. Under certain assumptions we show that free and fixed boundaries meet tangentially at contact points.

Original language	English (US)
Pages (from-to)	17-25
Number of pages	9
Journal	Monatshefte fur Mathematik
Volume	142
Issue number	1-2
DOIs	https://doi.org/10.1007/s00605-004-0243-6
State	Published - 2004
Externally published	Yes

Keywords

Contact points
Free boundary problems
Regularity

ASJC Scopus subject areas

General Mathematics

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10.1007/s00605-004-0243-6

Cite this

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title = "Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations",

abstract = "The aim of this paper is to study a free boundary problem for a uniformly elliptic fully non-linear operator. Under certain assumptions we show that free and fixed boundaries meet tangentially at contact points.",

keywords = "Contact points, Free boundary problems, Regularity",

author = "Norayr Matevosyan and Markowich, {Peter A.}",

year = "2004",

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volume = "142",

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T1 - Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations

AU - Matevosyan, Norayr

AU - Markowich, Peter A.

PY - 2004

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N2 - The aim of this paper is to study a free boundary problem for a uniformly elliptic fully non-linear operator. Under certain assumptions we show that free and fixed boundaries meet tangentially at contact points.

AB - The aim of this paper is to study a free boundary problem for a uniformly elliptic fully non-linear operator. Under certain assumptions we show that free and fixed boundaries meet tangentially at contact points.

KW - Contact points

KW - Free boundary problems

KW - Regularity

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U2 - 10.1007/s00605-004-0243-6

DO - 10.1007/s00605-004-0243-6

M3 - Article

AN - SCOPUS:3042668894

SN - 0026-9255

VL - 142

SP - 17

EP - 25

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 1-2

ER -

Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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