On some variational problems

Russian Journal of Mathematical Physics

Volumn 5, Issue 1, 1997, Pages 105-116

  Zhikov, Vasiliǐ V ^a  

^a Vladimir State Pedagogical University   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031315744     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Zhikov, V. V., 'On Lavrentiev's Phenomenon', Russian Journal of Math. Physics vol. 3 no. 2 (1995), 249-269.
2. Zhikov, V. V., 'On the Lavrent'ev effect', Dokl. Ross. Akad. Nauk vol. 345 no. 1 (1995), 10-14.
3. Zhikov, V. V., 'Lavrentiev phenomenon and homogenization for some variational problems' (1995), 273-289, Proceeding of the Second Workshop on "Composite media and Homogenization Theory", I. C. Th. Ph., Trieste, Italy, World Scientific.
4. Zhikov, V. V., 'Averaging of functionals of the calculus of variations and elasticity theory', Izvestiya Akad. nauk SSSR. Ser. mat. vol. 50 no. 4 (1986), 675-710;
5. English transl. in Math. USSR Izvestiya, vol. 29 (1987), 33-66.
6. Zhikov, V., Kozlov, S., and Oleinik, O. (1994), Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin e.a.
7. Xianling Fan (1995), A Class of De Giorgi Type and Hölder Continuity of Minimizers of Variationals with m(x)-Growth Condition, Lanzhou University, China.
8. Alkhutov, Yu. A., 'The Hölder continuity of certain nonlinear elliptic equations with nonstandard growth condition', Differentsial'nye Uravneniya (1997) (to appear).
9. p-integrability of the partial derivatives of a quasiconformal mapping', Acta Math. vol. 130 (1973), 265-277.
10. Giaquinta, M. and Modica, G., 'Regularity results for some classes of higher order nonlinear elliptic systems', J. für reine and angew. Math. no. 311/312 (1979), 145-169.
11. Cimatti, G. and Prodi, G., 'Existence results for a nonlinear elliptic system modeling a temperature dependent electrical resistor', Ann. Mat. Pura Appl. vol. 63 (1988), 227-236.
12. Howison, S. D., Rodrigues, J. F., and Shillor, M., 'Stationary solutions to the thermistor problem', Journal Math. Anal. Appl. vol. 174 (1993), 573-588.
13. Baranger, J. and Mikelic, A., 'Stationary solutions to a quasi-Newtonian flow with viscous heating', Math. Models and Methods in Applied Sciences vol. 5 no. 6 (1995), 725-738.