Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

Auscher, 2000, Equivalence between regularity theorems and heat kernel estimates for higher order elliptic operators and systems under divergence form, J. Funct. Anal., 177, 310, 10.1006/jfan.2000.3643 Byun, 2004, Elliptic equations with BMO coefficients in Reifenberg domains, Comm. Pure Appl. Math., 57, 1283, 10.1002/cpa.20037 Byun, 2005, Lp estimates for parabolic equations in Reifenberg domains, J. Funct. Anal., 223, 44, 10.1016/j.jfa.2004.10.014 Caffarelli, 1995, Fully nonlinear elliptic equations, vol. 43 Caffarelli, 1998, On W1,p estimates for elliptic equations in divergence form, Comm. Pure Appl. Math., 51, 1, 10.1002/(SICI)1097-0312(199801)51:1<1::AID-CPA1>3.0.CO;2-G Di Fazio, 1996, Lp estimates for divergence form elliptic equations with discontinuous coefficients, Boll. Unione Mat. Ital. Sez. A (7), 10, 409 Di Fazio, 1993, Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients, J. Funct. Anal., 112, 241, 10.1006/jfan.1993.1032 Di Fazio, 1999, Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients, J. Funct. Anal., 166, 179, 10.1006/jfan.1999.3425 DiBenedetto, 1983, C1+α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal., 7, 827, 10.1016/0362-546X(83)90061-5 DiBenedetto, 1993, On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems, Amer. J. Math., 115, 1107, 10.2307/2375066 Hajlasz, 1997, Traces of Sobolev functions on fractal type sets and characterization of extension domains, J. Funct. Anal., 143, 221, 10.1006/jfan.1996.2959 Heinonen, 1993, Potential Theory of Degenerate Elliptic Equations Iwaniec, 1983, Projections onto gradient fields and Lp-estimates for degenerate elliptic operators, Studia Math., 75, 293, 10.4064/sm-75-3-293-312 John, 1961, On functions of bounded mean oscillation, Comm. Pure Appl. Math., 14, 415, 10.1002/cpa.3160140317 Jones, 1981, Quasiconformal mappings and extendability of functions in Sobolev spaces, Acta Math., 147, 71, 10.1007/BF02392869 Kenig, 1999, Free boundary regularity for harmonic measures and the Poisson kernel, Ann. of Math. (2), 367 Kenig, 2003, Poisson kernel characterization of Reifenberg flat chord arc domains, Ann. Sci. École Norm. Sup. (4), 36, 323, 10.1016/S0012-9593(03)00012-0 Kinnunen, 1999, A local estimate for nonlinear equations with discontinuous coefficients, Comm. Partial Differential Equations, 24, 2043, 10.1080/03605309908821494 Kinnunen, 2001, A boundary estimate for nonlinear equations with discontinuous coefficients, Differential Integral Equations, 14, 475, 10.57262/die/1356123316 Lewis, 1983, Regularity of the derivatives of solutions to certain degenerate elliptic equations, Indiana U. Math. J., 32, 849, 10.1512/iumj.1983.32.32058 Lieberman, 1988, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal., 12, 1203, 10.1016/0362-546X(88)90053-3 Lieberman, 2003, A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with VMO coefficients, J. Funct. Anal., 201, 457, 10.1016/S0022-1236(03)00125-3 Palagachev, 1995, Quasilinear elliptic equations with VMO coefficients, Trans. Amer. Math. Soc., 347, 2481, 10.1090/S0002-9947-1995-1308019-6 Reifenberg, 1960, Solutions of the Plateau problem for m-dimensional surfaces of varying topological type, Acta Math., 104, 1, 10.1007/BF02547186 Safonov, 1980, Harnack's inequality for elliptic equations and Hölder property of their solutions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 96, 272 Sarason, 1975, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc., 207, 391, 10.1090/S0002-9947-1975-0377518-3 Stein, 1993 Tolksdorf, 1984, Regularity for a more general class of quasilinear elliptic equations, J. Differential Equations, 51, 126, 10.1016/0022-0396(84)90105-0 Toro, 1997, Doubling and flatness: Geometry of measures, Notices Amer. Math. Soc., 1087 Uhlenbeck, 1977, Regularity for a class of non-linear elliptic systems, Acta Math., 138, 219, 10.1007/BF02392316 Zeidler, 1990