References
Campanato, S.: Equazioni ellittiche del secondo ordine e spaziL 2,λ. Ann. Mat. Pura Appl.69, 321–380 (1965)
Garber, W.D., Ruijsenaars, S.N.M., Seiler, E., Burns, D.: On finite action solutions of the nonlinear σ-model. Ann. Phys.119, 305–325 (1979)
Giaquinta, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Lecture Notes, SFB 72, Bonn 1981
Giaquinta, M., Giusti, E.: On the regularity of the minima of variational integrals. Acta Math.148, 31–46 (1982)
Giaquinta, M., Giusti, E.: The singular set of the minima of certain quadratic functionals. Analysis (to appear)
Giaquinta, M., Modica, G.: Regularity results for some classes of higher order nonlinear elliptic systems. J. Reine Angew. Math.311/312, 145–169 (1979)
Jost, J.: Existence proofs of harmonic mappings with the help of a maximum principle. SFB 72, Preprint 510, Bonn 1982
Lemaire, L.: Applications harmoniques de surfaces Riemanniénnes. J. Diff. Geom.13, 51–78 (1978)
Morrey, C.B.: Multiple integrals in the calculus of variations. Berlin, Heidelberg, New York: Springer 1966
Schoen, R., Uhlenbeck, K.: A regularity theory for harmonic maps. J. Diff. Geom.17, 307–335 (1982)
Schoen, R., Uhlenbeck, K.: Boundary regularity and miscellaneous results on harmonic maps. J. Diff. Geom. (to appear)
Wood, J.C.: Non-existence of solutions to certain Dirichlet problems. Preprint, Leeds 1981
Author information
Authors and Affiliations
Additional information
The authors have been supported by the Sonderforschungsbereich 72 at the University of Bonn
Rights and permissions
About this article
Cite this article
Jost, J., Meier, M. Boundary regularity for minima of certain quadratic functionals. Math. Ann. 262, 549–561 (1983). https://doi.org/10.1007/BF01456068
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01456068