Regularity for a class of non-linear elliptic systems
Tóm tắt
Từ khóa
Tài liệu tham khảo
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).
—, 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.