V. Bögelein, Q. Li, “Very weak solutions of degenerate parabolic systems with non-standard $p(x,t)$-growth”, Nonlinear Anal., 98 (2014), 190–225
E. R. Andriyanova, “Estimates of decay rate for solution to parabolic equation with non-power nonlinearities”, Ufa Math. J., 6:2 (2014), 3–24
Boegelein V., Duzaar F., Marcellini P., “Parabolic systems with $p,q$-growth: a variational approach”, Arch. Ration. Mech. Anal., 210:1 (2013), 219–267
Bögelein V., Duzaar F., “Hölder estimates for parabolic $p(x,t)$-Laplacian systems”, Math. Ann., 354:3 (2012), 907–938
Duzaar F., Habermann J., “Partial regularity for parabolic systems with non-standard growth”, J. Evol. Equ., 12:1 (2012), 203–244
Alkhutov Yu., “Elliptic problems with nonstandard conditions of growth: Zhikov's approach”, Complex Var. Elliptic Equ., 56:7-9 (2011), 559–571
S. E. Pastukhova, “Compensated compactness principle and solvability of generalized Navier–Stokes equations”, J Math Sci, 173:6 (2011), 769
V. V. Zhikov, S. E. Pastukhova, “Lemmas on compensated compactness in elliptic and parabolic equations”, Proc. Steklov Inst. Math., 270 (2010), 104–131
Yu. A. Alkhutov, V. V. Zhikov, “Existence theorems for solutions of parabolic equations with variable order of nonlinearity”, Proc. Steklov Inst. Math., 270 (2010), 15–26