Existence theorem for some pairs of coupled elliptic equations

Doklady Mathematics

Volumn 77, Issue 1, 2008, Pages 80-84

  Zhikov, V V ^a  

^a VLADIMIR STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

GALERKIN METHODS; NON NEWTONIAN FLOW; PROBLEM SOLVING; THEOREM PROVING; VARIATIONAL TECHNIQUES;

DIRICHLET PROBLEMS; ELLIPTIC EQUATIONS; FIXED POINT THEOREM; HYDROMECHANICS; LAVRENTIEV PHENOMENON;

EQUATIONS OF MOTION;

EID: 41549102881     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/s1064562408010201     Document Type: Article

References (13)

1. S. D. Howison, F. R. Rodrigues, and J. F. Shillor, J. Math. Anal. Appl. 173, 573-588 (1993).
2. J. Baranger and A. Mikelic, Math. Models Methods Appl. Sci. 5, 725-738 (1995).
3. V. V. Zhikov, Russ. J. Math. Phys. 5(1), 105-116 (1997).
4. V. V. Zhikov, Differ. Uravn. 33, 108-115 (1997).
5. M. Ruzicka, Electrorheological Fluids: Modeling and Mathematical Theory (Springer-Verlag, Berlin, 2000).
6. S. N. Antontsev and F. R. Rodrigues, Ann. Univ. Ferrara 52, 19-36 (2006).
7. T. Gallouët, J. Lederer, R. Levandowski, et al., Nonlin. Anal. 52, 1051-1068 (2003).
8. V. V. Zhikov, Dokl. Akad. Nauk 345, 10-14 (1995).
9. V. V. Zhikov, Zap. Nauchn. Semin. POMI 310, 67-80 (2004).
10. L. Boccardo and T. Gallouet, J. Funct. Anal. 87, 149-169 (1989).
11. E. Acerbi and G. Mingione, Arch. Ration. Mech. Anal. 156, 121-140 (2001).
12. M. Giaquinta and G. Modica, J. Reine Angew. Math., No. 311/312, 145-151 (1979).
13. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations (Nauka, Moscow, 1964; Academic, New York, 1987).