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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
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
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
Linking options:
https://www.mathnet.ru/eng/aa1159 https://www.mathnet.ru/eng/aa/v21/i5/p203
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Abstract page: | 337 | Full-text PDF : | 89 | References: | 45 | First page: | 15 |
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