Reference |
1. Oron A., Davis S.H., Bankoff S.G. Long-scale evolution of thin liquid films// Reviews of Moderm Physics.
– 1997. – V.69, ¹3. – P. 931–980.
2. Lions J.L. Some methods of solving nonlinear boundary value problems. – Mir, Moscow, 1972. (in
Russian)
3. Borcia O.D., Borcia R., Bestehorn M. Long wave instabilities in binary mixture thin liquid film// Journal
of Optoelectronics and Advanced materials. – 2006. – V.8, ¹3. – P. 1033–1036.
4. Tikhonov A.N., Samarskii A.A. Equations of mathematical physics. – Ioscow, 1953, 680 p. (in Russian)
5. Kovacik O., Rakosnik J. On space Lp(x) and W1;p(x)// Czechslovak Math J. – 2005. – V.41(116). – P.
592–618.
6. Buhrii O.M., Mashiyev R.A. Uniqueness of solutions of the parabolic variational inequality with variable
exponent of nonlinearity// Nonlinear Analysis: Theory, Methods and Appl. – 2009. – V.70, ¹6. – P.
2325–2331.
7. Mashiyev R.A., Buhrii O.M. Existence of solutions of the parabolic variational inequality with variable
exponent of nonlinearity// J. of Math. Anal. and Appl. – 2011. – V.377. – P. 450–463.
8. Buhrii O.M., Bokalo T. Doubly nonlinear parabolic equations with variable exponents of nonlinearity in
minor terms// Visnyk Odes. Nat. Univ. Mathematics and Mechanics. – 2010. – V.15, ¹18. – P. 22–37.
(in Ukrainian)
9. Bokalo T., Buhrii O.M. Nondegenerate doubly nonlinear parabolic equations// Ukr. Math. Journal. –
2010. – V.63, ¹5. – P. 612–628. (in Ukrainian)
10. Buhrii O.M., Lavrenyuk S.P. Mixed problem for parabolic equations, which generalized politropic filtration
equations// Visnyk of the Lviv Univ. Series Mech. Math. – 2000. – V.56. – P. 33–43. (in Ukrainian)
11. Alkhutov Ya.A., Antontsev S.N., Zhikov V.V. Parabolic equations with variable order of nonlinearity//
Proceedings of the Institute of Mathematics of NAS of Ukraine. – 2009. – V.6, ¹1. – P. 23–50. (in
Russian)
12. Zhikov V.V., Pastukhova S.E. Lemmas on Compensated Compactness in Elliptic and Parabolic Equations//
Proceedings of the Steklov Institune os Mathematics. – 2010. – V.270. – P. 103–131.
13. Gajevski H., Gr.oger K., Zacharias K. Nonlinear operator equations and operator differential equations.
– Mir, Moscow, 1978. (in Russian)
14. Oleinik O.A., Radkevich E.V. Second order equations with nonnegative characteristic form. – Amer.
Math. Soc., 1973.
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