Integral estimates for null Lagrangians

Tadeusz Iwaniec; Adam Lutoborski

doi:10.1007/BF00411477

Integral estimates for null Lagrangians

Tadeusz Iwaniec, Adam Lutoborski

Department of Mathematics

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

202 Scopus citations

Abstract

Sobolev spaces of differential forms are studied, L^p-projections onto exact forms are introduced as a tool to obtain integral estimates for null Lagrangians. New results on compensated compactness are given and mean-coercive variational integrals are found. Existence of minima of certain mean-coercive functionals is established.

Original language	English (US)
Pages (from-to)	25-79
Number of pages	55
Journal	Archive for Rational Mechanics and Analysis
Volume	125
Issue number	1
DOIs	https://doi.org/10.1007/BF00411477
State	Published - Mar 1993

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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title = "Integral estimates for null Lagrangians",

abstract = "Sobolev spaces of differential forms are studied, Lp-projections onto exact forms are introduced as a tool to obtain integral estimates for null Lagrangians. New results on compensated compactness are given and mean-coercive variational integrals are found. Existence of minima of certain mean-coercive functionals is established.",

author = "Tadeusz Iwaniec and Adam Lutoborski",

year = "1993",

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AU - Iwaniec, Tadeusz

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AB - Sobolev spaces of differential forms are studied, Lp-projections onto exact forms are introduced as a tool to obtain integral estimates for null Lagrangians. New results on compensated compactness are given and mean-coercive variational integrals are found. Existence of minima of certain mean-coercive functionals is established.

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Integral estimates for null Lagrangians

Abstract

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