Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baldes, A., Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid, Math. Z. 185 (1984), 505–516.
EELLS, J., Lemaire, L., A report on harmonic maps, Bull. London Math. Soc. 10 (1878), 1–68.
EELLS,J., Lemaire,L., Selected topics in harmonic maps, CBMS Regional Conference series.
EELLS, J., Sampson, J.H., Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160.
Evans,C.L., Quasiconvexity and partial regularity in the calculus of variations, preprint 1984.
Giaquinta, M., A counterexample to the boundary regularity of solutions to elliptic quasilinear systems, manuscripta math. 14 (1978), 217–220.
Giaquinta,M., Multiple integrals in the Calculus of Vaniations and non linear elliptic systems, Annals. Math. Studies n° 105, Princeton University Press, 1983.
Giaquinta, M., Giusti, E., On the regularity of the minima of variational integrals, Acta Math. 148 (1982), 31–46.
Giaquinta, M., Giusti, E., Differentiability of minima of non differentiable functionals, Inventiones Math. 72 (1983), 285–298.
Giaquinta, M., Giusti, E., The singular set of the minima of certain quadratic functionals, Ann.Sc.Norm.Sup. Pisa 11 (1984), 45–55.
Giaquinta,M., Ivert,P.A., Partial regularity for minima of variational integrals, Arkiv för Math.
Giaquinta,M., Modica,G., Partial regularity of minimizers of quasiconvex integrals, Ann. Inst. H. Poincaré, Analyse non linéaire.
Giaquinta,M., Souček,J., Harmonic maps into a hemisphere, Ann. Sc. Norm. Sup. Pisa.
Giaquinta, M., Souček, J., Cacciopoli's inequality and Legendre-Hadamard condition, Math. Ann. 270 (1985), 105–107.
Hildebrandt, S., Kaul, H., Widman, K.O., An existence theorem for harmonic mappings of Riemannian manifolds, Acta Math. 138 (1977), 1–16.
Jäger, W., Kaul, H., 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.
Jost,J., Harmonic mappings between Riemannian manifolds, Centre for Math. Anal., Australian National Univ., vol. 4, 1983.
Jost, J., Meier, M., Boundary regularity for minima of certain quadratic functionals, Math. Ann. 262 (1983), 549–561.
Schoen, R., Uhlenbeck, K., A regularity theory for harmonic maps, J. Diff. Geom. 17 (1982), 307–335.
Schoen, R., Uhlenbeck, K., Boundary regularity and miscellaneous results on harmonic maps, J. Diff. Geom. 18 (1983), 253–268.
Schoen,R., Uhlenbeck,K., Regularity of minimizing harmonic maps into the sphere, Inventiones math.
Uhlenbeck, K., Regularity for a class of nonlinear elliptic systems, Acta Math. 138 (1977), 219–240.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Equadiff 6 and Springer-Verlag
About this paper
Cite this paper
Giaquinta, M. (1986). Partial regularity of minimizers. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076072
Download citation
DOI: https://doi.org/10.1007/BFb0076072
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16469-2
Online ISBN: 978-3-540-39807-3
eBook Packages: Springer Book Archive