Convex solutions of boundary value problems

Haiyan Wang

doi:10.1016/j.jmaa.2005.05.067

Convex solutions of boundary value problems

Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

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

14 Scopus citations

Abstract

We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Ampère equations. We shall use fixed point theorems in a cone.

Original language	English (US)
Pages (from-to)	246-252
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	318
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2005.05.067
State	Published - Jun 1 2006

Keywords

Convex solutions
Fixed index theorem
Monge-Ampère equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2005.05.067

Cite this

@article{91dead2386d04f26a19322161abe16c8,

title = "Convex solutions of boundary value problems",

abstract = "We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Amp{\`e}re equations. We shall use fixed point theorems in a cone.",

keywords = "Convex solutions, Fixed index theorem, Monge-Amp{\`e}re equations",

author = "Haiyan Wang",

year = "2006",

month = jun,

day = "1",

doi = "10.1016/j.jmaa.2005.05.067",

language = "English (US)",

volume = "318",

pages = "246--252",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Convex solutions of boundary value problems

AU - Wang, Haiyan

PY - 2006/6/1

Y1 - 2006/6/1

N2 - We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Ampère equations. We shall use fixed point theorems in a cone.

AB - We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Ampère equations. We shall use fixed point theorems in a cone.

KW - Convex solutions

KW - Fixed index theorem

KW - Monge-Ampère equations

UR - http://www.scopus.com/inward/record.url?scp=33644645694&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644645694&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2005.05.067

DO - 10.1016/j.jmaa.2005.05.067

M3 - Article

AN - SCOPUS:33644645694

SN - 0022-247X

VL - 318

SP - 246

EP - 252

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Convex solutions of boundary value problems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this