Abstract
In spite of its relevance to the calculus of variations, the regularity of minimizers of variational integrals as such (i.e. as opposed to stationary points) has been studied only recently in [2]. Since then, several papers dedicated to the study of that problem have appeared.
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References
Giaquinta, M. Multiple integrals in the calculus of variations and nonlinear elliptic systems. Annals of Math. Studies 105. Princeton Univ. Press 1983.
Giaquinta, M., & E. Giusti, On the regularity of the minima of variational integrals.Acta Math 148 (1982) 31–46
Giaquinta, M., & E. Giusti, The singular set of the minima of certain quadratic functionals. Ann. Sc. Norm. Sup. Pisa 11 (1984) 45–55.
Giaquinta, M., & J. Soucek, Harmonic maps into a hemisphere. To appear in Ann. Sc. Norm. Sup. Pisa.11(1984)45–55
Giusti, E., Minimal surfaces and functions of bounded variation. Birkhauser Boston. 1984.
Jager, W., & J. Kaul, Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems. J. Reine Angew. Math. 343 (1983) 146–161.
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Dedicated to J. Serrin on his sixtieth birthday
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© 1989 Springer-Verlag Berlin Heidelberg
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Giusti, E. (1989). On the Behavior of the Derivatives of Minimizers near Singular Points. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_20
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DOI: https://doi.org/10.1007/978-3-642-83743-2_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50917-2
Online ISBN: 978-3-642-83743-2
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