On Euler Equations in higher order Sobolev spaces

VB Moroz

On Euler Equations in higher order Sobolev spaces

VB Moroz

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

We consider the integral functional of calculus of variations involving higher order derivatives. It is shown that any local minimum of the functional solves the associated strongly nonlinear elliptic problem in a certain weak sense in spite of the fact that no growth conditions are imposed on the zero order term.

Translated title of the contribution	On Euler Equations in higher order Sobolev spaces
Original language	English
Pages (from-to)	93 - 106
Journal	Potential Analysis
Volume	14 (1)
Publication status	Published - Feb 2001

Bibliographical note

Publisher: Kluwer Academic Publ
Other identifier: IDS number 382EF

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title = "On Euler Equations in higher order Sobolev spaces",

abstract = "We consider the integral functional of calculus of variations involving higher order derivatives. It is shown that any local minimum of the functional solves the associated strongly nonlinear elliptic problem in a certain weak sense in spite of the fact that no growth conditions are imposed on the zero order term.",

author = "VB Moroz",

note = "Publisher: Kluwer Academic Publ Other identifier: IDS number 382EF",

year = "2001",

month = feb,

language = "English",

volume = "14 (1)",

pages = "93 -- 106",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

}

TY - JOUR

T1 - On Euler Equations in higher order Sobolev spaces

AU - Moroz, VB

N1 - Publisher: Kluwer Academic Publ Other identifier: IDS number 382EF

PY - 2001/2

Y1 - 2001/2

N2 - We consider the integral functional of calculus of variations involving higher order derivatives. It is shown that any local minimum of the functional solves the associated strongly nonlinear elliptic problem in a certain weak sense in spite of the fact that no growth conditions are imposed on the zero order term.

AB - We consider the integral functional of calculus of variations involving higher order derivatives. It is shown that any local minimum of the functional solves the associated strongly nonlinear elliptic problem in a certain weak sense in spite of the fact that no growth conditions are imposed on the zero order term.

M3 - Article (Academic Journal)

VL - 14 (1)

SP - 93

EP - 106

JO - Potential Analysis

JF - Potential Analysis

SN - 0926-2601

ER -

On Euler Equations in higher order Sobolev spaces

Abstract

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