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References
E. Acerbi & N. Fusco: A regularity theorem for minimizers of quasiconvex integrals, Preprint 1986.
F. J. Almgren, Jr.: Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure, Ann. of Math. 87 (1968) 321–391.
G. Anzellotti: Parametric and non-parametric minima, Manuscripta Math. 48 (1984), 103–115.
G. Anzellotti & M. Giaquinta: Funzioni BV e tracce, Rend. Sem. Mat. Univ. Padova 60 (1978) 1–21.
E. Bombieri: Regularity theory for almost minimal currents, Arch. Rational Mech. Anal. 78 (1982) 99–130.
E. de Giorgi: Frontiere orientate di misura minima. Sem. Mat. Scuola Normale Superiore Pisa, 1961.
L. C. Evans: Quasiconvexity and partial regularity in the calculus of variations, Preprint 1984.
M. Giaquinta: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Annals of Math. Studies n∘ 105, Princeton University Press, Princeton 1983.
M. Giaquinta: The problem of the regularity of minimizers. Address at the international Congress of Mathematicians, Berkeley 1986.
M. Giaquinta: Quasiconvexity, growth conditions and partial regularity. Preprint 1987.
M. Giaquinta & E. Giusti: On the regularity of minima of variational integrals. Acta Math. 148 (1982) 31–46.
M. Giaquinta & E. Giusti: Quasi-minima. Ann. Inst. H. Poincaré. Analyse non linéaire 1 (1984) 79–107.
M. Giaquinta & G. Modica: Partial regularity of minimizers of quasiconvex integrals. Ann. Inst. H. Poincaré, Analyse non linéaire 3 (1986) 185–208.
M. Giaquinta & G. Modica: Remarks on the regularity of the minimizers of certain degenerate functional. Manuscripta Math. 57 (1986) 55–99.
M. Giaquinta, G. Modica, & J. Souček: Functional with linear growth in the calculus of variations. Comment. Math. Univ. Carolinae 20 (1979) 143–172.
E. Giusti: Boundary value problems for nonparametric surfaces of prescribed mean curvature. Ann. Sc. Norm. Sup. Pisa 3 (1976) 501–541.
M. Miranda: Analiticitá delle superfici di area minima in ℝ4. Rend. Acc. Naz. Lincei (1965).
R. E. Reifenberg: On the analyticity of minimal surfaces. Annals of Math. 80 (1964) 15–21.
Yu. G. Reschetnyak: Weak convergence of completely additive vector functions on a set. Sibirsk. Maz. Ž. 9 (1968) 1386–1394 (Translated).
R. Schoen & L. Simon: A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Indiana Univ. Math. J. 31 (1982) 415–434.
R. Schoen & K. Uhlenbeck: A regularity theory for harmonic maps. J. Diff. Geo. 17 (1982) 307–335.
L. Tamanini: Regularity results for almost minimal oriented hypersurfaces in ℝm. Quaderni Dip. Mat. Univ. Lecce, n∘ 1 (1984).
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Anzellotti, G., Giaquinta, M. Convex functionals and partial regularity. Arch. Rational Mech. Anal. 102, 243–272 (1988). https://doi.org/10.1007/BF00281349
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DOI: https://doi.org/10.1007/BF00281349