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Algebra i Analiz, 2009, Volume 21, Issue 5, Pages 203–221 (Mi aa1159)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Regularity results for local minimizers of energies with general densities having superquadratic growth

M. Fuchs

Universität des Saarlandes, Fachbereich 6.1 Mathematik, Saarbrücken, Germany
Full-text PDF (262 kB) Citations (4)
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Abstract: Variational integrals whose energy densities are represented by $N$-functions $h$ of at least quadratic growth are considered. Under rather general conditions on $h$, almost everywhere regularity of vector-valued local minimizers is established, and it is possible to include the case of higher order variational problems without essential changes in the arguments.
Keywords: vector-valued problems, local minimizers, nonstandard growth, partial regularity.
Received: 08.08.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 5, Pages 825–838
DOI: https://doi.org/10.1090/S1061-0022-2010-01120-8
Bibliographic databases:
Document Type: Article
MSC: 49N60
Language: English
Citation: M. Fuchs, “Regularity results for local minimizers of energies with general densities having superquadratic growth”, Algebra i Analiz, 21:5 (2009), 203–221; St. Petersburg Math. J., 21:5 (2010), 825–838
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:39
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