Keywords
- Elliptic Operator
- Partial Regularity
- Nonlinear Elliptic System
- Holder Continuity
- Degenerate Functional
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References
L.C. Evans, Quasi convexity and partial regularity in the calculus of variations, pre-print (1984).
N. Fusco and J. Hutchinson, C1,α partial regularity of functions minimizing quasiconvex integrals, Manuscripta math. 54 (1985), 121–143.
N. Fusco and J. Hutchinson, Partial regularity of minimizers of certain functionals having non quadratic growth, pre-print.
M. Giaquinta, Multiple integrals in the Calculus of Variations and nonlinear elliptic systems, Princeton Univ. Press, Princeton 1983.
M. Giaquinta and E. Giusti, On the regularity of minima of variational integrals, Acta Math. 148 (1982), 31–46.
M. Giaquinta and E. Giusti, Differentiability of minima of nondifferentiable functionals, Inventiones Math. 72 (1983), 285–298.
M. Giaquinta and E. Giusti, Quasi-minima, Ann. Inst. H. Poincaré, Analyse non linéaire 1 (1984), 79–107.
M. Giaquinta and P.A. Ivert, Partial regularity of minimizers of variational integrals, pre-print 1983.
M. Giaquinta and G. Modica, Partial regularity of minimizers of quasiconvex integrals, Ann. Inst. H. Poincaré, Analyse non linéaire 3 (1986).
M. Giaquinta and G. Modica, Remarks on the regularity of the minimizers of certain degenerate functionals, Manuscripta math., to appear.
M. Giaquinta and J. Soucek, Harmonic maps into a hemisphere, Ann. Sc. Norm. Sup. Pisa 12 (1985), 81–90.
W. Jäger and H. Kaul, Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems, J. reine u. angew. Math. 343 (1983), 146–161.
R. Schoen and K. Uhlenbeck, Regularity of minimizing harmonic maps into the sphere, Inventiones Math. 78 (1984), 89–100.
K. Uhlenbeck, Regularity for a class of nonlinear elliptic systems, Acta Math. 138 (1977), 219–240.
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Dedicated to Hans Lewy
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© 1988 Springer-Verlag
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Giaquinta, M. (1988). Some remarks on the regularity of minimizers. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds) Calculus of Variations and Partial Differential Equations. Lecture Notes in Mathematics, vol 1340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082888
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DOI: https://doi.org/10.1007/BFb0082888
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