Article PDF
Avoid common mistakes on your manuscript.
References
Duzaar, F.: Die Regularität von Abbildungen zwischen Riemannschen Mannigfaltigkeiten, die das Energieintegral unter einer Hindernisbedingung minimieren. Inaugural-Dissertation Düsseldorf 1985
Eisen, G.: Über die Regularität schwacher Lösungen von Variationsproblemen mit Hindernissen und Integralbedingungen. Preprint no 512 SFB 72
Eisen, G.: Variational problems with obstacles and integral constraints. Preprint no 592 SFB 72
Fuchs, M.: Variational inequalities for vector-valued functions with non-convex obstacles. Analysis5, 223–238 (1985)
Giaquinta, M.: Multiple integrals in the calculus of variations and non-linear elliptic systems, Vorlesungsreihe no 6 SFB 72
Giaquinta, M.; E., Giusti: The singular set of the minima of certain quadratic functionals. Preprint no 453 SFB 72
Hildebrandt, S.: On the regularity of solutions of two-dimensional variational problems with obstructions. Comm. Pure Appl. Math.25, 479–496 (1972)
Hildebrandt, S.: InteriorC 1,α-regularity of two-dimensional variational problems with obstacles. Math. Z.131, 233–240 (1973)
Hildebrandt, S.; M. Meier: On variational problems with obstacles and integral constraints for vector-valued functions. Manuscr. Math.28, 185–206 (1979)
Hildebrandt, S.; H.C. Wente: Variational problems with obstacles and a colume constraint. Math. Z.135, 55–68 (1973)
Hildebrandt, S.; K.O. Widman: Variational inequalities for vector-valued functions J. Reine u. Angew. Math.309, 181–220 (1979)
Morrey, C.B., Jr.: Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966
Tomi, F.: Variationsprobleme vom Dirichlet-Typ mit einer Ungleichung als Nebenbedingung. Math. Z.128, 43–74 (1972)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Duzaar, F., Fuchs, M. Variational problems with non-convex obstacles and an integral-constraint for vector-valued functions. Math Z 191, 585–591 (1986). https://doi.org/10.1007/BF01162348
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01162348