REFERENCES
[1] C.T. Anh, Pullback attractor for a non-autonomous parabolic equation involving
Grushin operators, Electronic J. Differential Equations (2010), No 11, 1-14.
[2] C.T. Anh and T.D. Ke, Existence and continuity of global attractor for a semilinear
degenerate parabolic equation, Electronic J. Differential Equations (2009), No 61, 1-13.
[3] H. Chen and P. Luo, Lower bounds of Dirichlet eigenvalues for some degenerate
elliptic operators, Calc. Var. 54 (2015), 2831-2852.
[4] L. D’Ambrosio, Hardy inequalities related to Grushin type operators, Proc. Amer.
Math. Soc. 132 (2003), 725-734.
[5] L. D’Ambrosio and S. Lucente, Nonlinear Liouville theorems for Grushin and
Tricomi operators, J. Differential Equations 193 (2003), 511-541.
[6] B. Franchi and E. Lanconelli, An embedding theorem for Sobolev spaces related
to nonsmooth vector fields and Harnack inequality, Comm. Partial Differential
Equations 9 (1984), 1237-1264.
[7] V.V. Grushin, A certain class of elliptic pseudo differential operators that are
degenerated on a submanifold, Mat. Sb. 84 (1971), 163-195; English translation
in: Math. USSR Sbornik 13 (1971), 155-183.
[8] A.E. Kogoj and E. Lanconelli, On semilinear ∆λ-Laplace equation, Nonlinear
Anal. 75 (2012), 4637-4649.
[9] M. Marion, Attractors for reaction-diffusion equations: existence and estimate of
their dimension, Appl. Anal. 25 (1987), 101-147.
[10] R. Monti and D. Morbidelli, Kelvin transform for Grushin operators and critical
semilinear equations, Duke Math. J. 131 (2006), 167-202.
[11] D.D. Monticelli, Maximum principles and the method of moving planes for a class
of degenerate elliptic linear operators, J. Eur. Math. Soc. (JEMS) 12 (2010),
611-654.
[12] J.C. Robinson, Infinite-Dimensional Dynamical Systems: An Introduction to
Dissipative Parabolic PDEs and the Theory of Global Attractors, Cambridge
Texts in Applied Mathematics, Cambridge University Press, Cambridge (2001).
[13] R. Temam, Infinite Dimensional Dynamical Systems in Mechanic and Physics,
2nd edition, Springer-Verlag, New York (1997).
[14] N.T.C. Thuy and N.M. Tri, Existence and nonexistence results for boundary value
problems for semilinear elliptic degenerate operator, Russian J. Math. Phys. 9
(2002), 366-371.
[15] Q. Yang, D. Su and Y. Kong, Improved Hardy inequalities for Grushin operators,
J. Math. Anal. Appl. 424 (2015), 321-343.
[16] X. Yu, Liouville type theorem for nonlinear elliptic equation involving Grushin
operators, Commun. Contemp. Math. 17 (2015), 1450050, 12 pp.
[17] C.K. Zhong, M.H. Yang and C. Sun, The existence of global attractors for the
norm-to-weak continuous semigroup and application to the nonlinear reactiondiffusion
equations, J. Differential Equations 223 (2006), 367-399.