Global <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:math> regularity for variable exponent elliptic equations in divergence form

Acerbi, 1994, A transmission problem in the calculus of variations, Calc. Var. Partial Differential Equations, 2, 1, 10.1007/BF01234312

Acerbi, 2001, Regularity results for a class of functionals with nonstandard growth, Arch. Ration. Mech. Anal., 156, 121, 10.1007/s002050100117

Coscia, 1999, Hölder continuity of the gradient of p(x)-harmonic mappings, C. R. Acad. Sci. Paris Ser. I, 328, 363, 10.1016/S0764-4442(99)80226-2

DiBenedetto, 1983, C1+α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal., 7, 827, 10.1016/0362-546X(83)90061-5

Diening, 2004, Open problems in variable exponent Lebesgue and Sobolev spaces, 38

Eleuteri, 2004, Hölder continuity results for a class of functionals with non-standard growth, Boll. Unione Mat. Ital. Sez. B, 7, 129

Evans, 1982, A new proof of local C1,α regularity for solutions of certain degenerate elliptic p.d.e., J. Differential Equations, 45, 356, 10.1016/0022-0396(82)90033-X

Fan, 1996, Regularity of minimizers of variational integrals with continuous p(x)-growth conditions, Chinese J. Contemp. Math., 17, 327

Fan, 1999, A class of De Giorgi type and Hölder continuity, Nonlinear Anal., 36, 295, 10.1016/S0362-546X(97)00628-7

Fan, 2000, The quasi-minimizer of integral functionals with m(x) growth conditions, Nonlinear Anal., 39, 807, 10.1016/S0362-546X(98)00239-9

Giaquinta, 1983

Giaquinta, 1984, Global C1+α-regularity for second order quasilinear elliptic equations in divergence form, J. Reine Angew. Math., 351, 55

Harjulehto, 2003, An overview of variable exponent Lebesgue and Sobolev spaces, 85

Kováčik, 1991, On spaces Lp(x)(Ω) and Wm,p(x)(Ω), Czechoslovak Math. J., 41, 592, 10.21136/CMJ.1991.102493

Ladyzenskaja, 1968

Lieberman, 1986, Mixed boundary value problems for elliptic and parabolic differential equations of second order, J. Math. Anal. Appl., 113, 422, 10.1016/0022-247X(86)90314-8

Lieberman, 1988, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. TMA, 12, 1203, 10.1016/0362-546X(88)90053-3

Lieberman, 1991, The natural generalization of the natural conditions of Ladyzenskaja and Ural'tzeva for elliptic equations, Comm. Partial Differential Equations, 16, 311, 10.1080/03605309108820761

Lin, 1991, Boundary C1,α regularity for variational inequalities, Comm. Pure Appl. Math., 44, 715, 10.1002/cpa.3160440605

Marcellini, 1991, Regularity and existence of solutions of elliptic equations with (p,q)-growth conditions, J. Differential Equations, 90, 1, 10.1016/0022-0396(91)90158-6

Marcellini, 1993, Regularity for elliptic equations with general growth conditions, J. Differential Equations, 105, 296, 10.1006/jdeq.1993.1091

Růžička, 2000

Samko, 2005, On a progress in the theory of Lebesgue spaces with variable exponent: Maximal and singular operators, Integral Transforms Spec. Funct., 16, 461, 10.1080/10652460412331320322

Tolksdorff, 1984, Regularity for a more general class of quasilinear elliptic equations, J. Differential Equations, 51, 126, 10.1016/0022-0396(84)90105-0

Zhikov, 1997, On some variational problems, Russian J. Math. Phys., 5, 105