References
- C. B. Morrey, "On the solutions of quasi-linear elliptic partial differential equations", T. Am. Math. Soc., Vol. 43, pp. 126-166, 1938. https://doi.org/10.1090/S0002-9947-1938-1501936-8
- C. B. Morrey, "Multiple integral problems in the calculus of variations and related topics", Univ. California Publ. Math. (N.S.) Vol. 1, pp. 1-130, 1943.
- E. De Giorgi, "Sulla differenziabilita e l'analiticita delle estremali degli integrali multipli regolari", Mem. Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat., Vol. 3, pp. 25-43, 1957.
- J. Nash, "Continuity of solutions of parabolic and elliptic equations", Am. J. Math., Vol. 80, pp. 931-954, 1958. https://doi.org/10.2307/2372841
- J. Moser, "A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations", Commun. Pur. Appl. Math., Vol. 13, pp. 457-468, 1960. https://doi.org/10.1002/cpa.3160130308
- J. Moser, "On Harnack's theorem for elliptic differential equations", Commun. Pur. Appl. Math., Vol. 14, pp. 577-591, 1961. https://doi.org/10.1002/cpa.3160140329
- E. De Giorgi, "Congetture sulla continuita delle soluzioni di equazioni lineari ellittiche autoaggiunte a coefficienti illimitati", talk given in Lecce, Unpublished, January 4, 1995.
- N. S. Trudinger, "On the regularity of generalized solutions of linear, non-uniformly elliptic equations", Arch. Ration. Mech. An., Vol. 42, pp. 50-62, 1971.
- J. Onninen and X. Zhong, "Continuity of solutions of linear, degenerate elliptic equations", Ann. Scuola Norm-Sci., Vol. 6, pp. 103-116, 2007.
- X. Zhong, "Discontinuous solutions of linear, degenerate elliptic equations", J. Math. Pure Appl., Vol. 90, pp. 31-41, 2008. https://doi.org/10.1016/j.matpur.2008.02.007
- S. Cho and M. V. Safonov, "Holder regularity of solutions to second-order elliptic equations in nonsmooth domains", Bound. Value Probl., ID 57928, pp. 1-24, 2007.
- S. Cho, H. Dong, and D. Kim, "Boundary value problems for parabolic operators in a time-varying domain", eprint arXiv:1312.2104