Polyconvex functionals for nearly conformal deformations

Tadeusz Iwaniec; Adam Lutoborski

doi:10.1137/0527033

Polyconvex functionals for nearly conformal deformations

Tadeusz Iwaniec, Adam Lutoborski

Department of Mathematics

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

9 Scopus citations

Abstract

Variational integrals whose absolute minima are conformal deformations are studied. Polyconvexity and mean coercivity of these functionals are proved in even dimensions. Existence of nearly conformal deformations is established.

Original language	English (US)
Pages (from-to)	609-619
Number of pages	11
Journal	SIAM Journal on Mathematical Analysis
Volume	27
Issue number	3
DOIs	https://doi.org/10.1137/0527033
State	Published - May 1996

Keywords

Mean coercive functionals
Nearly conformal deformations
Polyconvex functions

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/0527033

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title = "Polyconvex functionals for nearly conformal deformations",

abstract = "Variational integrals whose absolute minima are conformal deformations are studied. Polyconvexity and mean coercivity of these functionals are proved in even dimensions. Existence of nearly conformal deformations is established.",

keywords = "Mean coercive functionals, Nearly conformal deformations, Polyconvex functions",

author = "Tadeusz Iwaniec and Adam Lutoborski",

year = "1996",

month = may,

doi = "10.1137/0527033",

language = "English (US)",

volume = "27",

pages = "609--619",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

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T1 - Polyconvex functionals for nearly conformal deformations

AU - Iwaniec, Tadeusz

AU - Lutoborski, Adam

PY - 1996/5

Y1 - 1996/5

N2 - Variational integrals whose absolute minima are conformal deformations are studied. Polyconvexity and mean coercivity of these functionals are proved in even dimensions. Existence of nearly conformal deformations is established.

AB - Variational integrals whose absolute minima are conformal deformations are studied. Polyconvexity and mean coercivity of these functionals are proved in even dimensions. Existence of nearly conformal deformations is established.

KW - Mean coercive functionals

KW - Nearly conformal deformations

KW - Polyconvex functions

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DO - 10.1137/0527033

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JF - SIAM Journal on Mathematical Analysis

IS - 3

ER -

Polyconvex functionals for nearly conformal deformations

Abstract

Keywords

ASJC Scopus subject areas

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