Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp

Barbara Brandolini; Barbara Brandolini; Cristina Trombetti; Anna Lisa Amadori

Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp

Barbara Brandolini, Barbara Brandolini, Cristina Trombetti, Anna Lisa Amadori

Matematica e Informatica

Risultato della ricerca: Article › peer review

Abstract

We compare various notions of solutions of Monge-Ampère equations with discontinuous functions on the right hand side. Precisely, we show that the weak solutions defined by Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions.

Lingua originale	English
pagine (da-a)	221-233
Numero di pagine	13
Rivista	ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Volume	18
Stato di pubblicazione	Published - 2007

All Science Journal Classification (ASJC) codes

???subjectarea.asjc.2600.2600???

Altri file e collegamenti

OA Link

Cita questo

@article{7d3cf878359a47ed8809163c240991db,

title = "Viscosity solutions of the Monge-Amp{\`e}re equation with the right hand side in Lp",

abstract = "We compare various notions of solutions of Monge-Amp{\`e}re equations with discontinuous functions on the right hand side. Precisely, we show that the weak solutions defined by Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions.",

author = "Barbara Brandolini and Barbara Brandolini and Cristina Trombetti and Amadori, {Anna Lisa}",

year = "2007",

language = "English",

volume = "18",

pages = "221--233",

journal = "Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni",

issn = "1120-6330",

publisher = "European Mathematical Society Publishing House",

}

TY - JOUR

T1 - Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp

AU - Brandolini, Barbara

AU - Trombetti, Cristina

AU - Amadori, Anna Lisa

PY - 2007

Y1 - 2007

N2 - We compare various notions of solutions of Monge-Ampère equations with discontinuous functions on the right hand side. Precisely, we show that the weak solutions defined by Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions.

AB - We compare various notions of solutions of Monge-Ampère equations with discontinuous functions on the right hand side. Precisely, we show that the weak solutions defined by Trudinger can be obtained by the vanishing viscosity approximation method. Moreover, we investigate existence and uniqueness of Lp-viscosity solutions.

UR - http://hdl.handle.net/10447/494026

M3 - Article

VL - 18

SP - 221

EP - 233

JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

SN - 1120-6330

ER -

Viscosity solutions of the Monge-Ampère equation with the right hand side in Lp

Abstract

All Science Journal Classification (ASJC) codes

Altri file e collegamenti

Fingerprint

Cita questo