Euler equations involving nonlinearities without growth conditions

Marco Degiovanni; S. Zani

doi:10.1007/BF00275517

Euler equations involving nonlinearities without growth conditions

Marco Degiovanni^*, S. Zani

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

A functional is considered, whose Euler equation involves a nonlinearity without growth conditions. It is shown that every minimum point of the functional is a solution of the Euler equation in a suitable weak sense.

Lingua originale	Inglese
pagine (da-a)	505-512
Numero di pagine	8
Rivista	Potential Analysis
Volume	5
Numero di pubblicazione	5
DOI	https://doi.org/10.1007/BF00275517
Stato di pubblicazione	Pubblicato - 1996

All Science Journal Classification (ASJC) codes

Analisi

Keywords

Calculus of variations
Euler equations
Non-linearities without growth conditions
Semilinear elliptic equations

Accesso al documento

10.1007/BF00275517

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title = "Euler equations involving nonlinearities without growth conditions",

abstract = "A functional is considered, whose Euler equation involves a nonlinearity without growth conditions. It is shown that every minimum point of the functional is a solution of the Euler equation in a suitable weak sense.",

keywords = "Calculus of variations, Euler equations, Non-linearities without growth conditions, Semilinear elliptic equations, Calculus of variations, Euler equations, Non-linearities without growth conditions, Semilinear elliptic equations",

author = "Marco Degiovanni and S. Zani",

year = "1996",

doi = "10.1007/BF00275517",

language = "English",

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pages = "505--512",

journal = "Potential Analysis",

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T1 - Euler equations involving nonlinearities without growth conditions

AU - Degiovanni, Marco

AU - Zani, S.

PY - 1996

Y1 - 1996

N2 - A functional is considered, whose Euler equation involves a nonlinearity without growth conditions. It is shown that every minimum point of the functional is a solution of the Euler equation in a suitable weak sense.

AB - A functional is considered, whose Euler equation involves a nonlinearity without growth conditions. It is shown that every minimum point of the functional is a solution of the Euler equation in a suitable weak sense.

KW - Calculus of variations

KW - Euler equations

KW - Non-linearities without growth conditions

KW - Semilinear elliptic equations

KW - Calculus of variations

KW - Euler equations

KW - Non-linearities without growth conditions

KW - Semilinear elliptic equations

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U2 - 10.1007/BF00275517

DO - 10.1007/BF00275517

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JO - Potential Analysis

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Euler equations involving nonlinearities without growth conditions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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