References
Almgren, F. J., 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.
Friedman, A.,Partial differential equations, Holt, Rinehart and Winston, New York (1968).
Hörmander, L.,Linear partial differential equations. Springer, Berlin (1963).
Ladyshenskaya &Uraltseva,Linear and quasi-linear elliptic equations. Mathematics in Science and Engineering, Vol. 46, Academic Press, New York (1968).
Morrey, C. B.,Multiple integrals in the calculus of variations. Springer, New York (1966).
—, Partial regularity results for non-linear elliptic systems.J. Math. Mech., 17 (1968), 649–670.
Moser, J., On Harnack's theorem for elliptic differential equations.Comm. Pure Appl. Math., 14 (1961), 577–591.
—, A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations.Comm. Pure Appl. Math., 13 (1960), 457–468.
Sibner, L. M. &Sibner, R. B., A non-linear Hodge de Rham theorem.Acta Math., 125 (1970), 57–73.
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Research supported under National Science Foundation contract MPS73-08821 A02.
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Uhlenbeck, K. Regularity for a class of non-linear elliptic systems. Acta Math 138, 219–240 (1977). https://doi.org/10.1007/BF02392316
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DOI: https://doi.org/10.1007/BF02392316