Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces

Research Article

Year 2010, Volume: 7 Issue: 2, - , 01.04.2010

Some corollaries of Lebesgue’s regular points which are useful in the theory of
optimal control for distributed parameter systems are proved.

[1] O. M. Buhrii and R. A. Mashiyev, Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity, Nonlinear Anal.-Theor. 70 (2009), 2325–2331.
[2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American Mathematical Society, Boston, MA 2000.
[3] O. Kov´aˇcik and J. R´akosn´ık, On spaces L^p(x) and W^k,p(x) , Czech. Math. J. 41 (1991), 592–618.
[4] R. Mashiyev, Some properties of variable Sobolev capacity, Taiwan. J. Math. 12 (2008), 671–678.
[5] A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems, Nauka, Moscow 1974.
[6] P. Harjulehto and P. H¨ast¨o, Lebesgue points in variable exponent spaces, Ann. Acad. Sci. Fenn.-M. 29 (2004), 295–306.
[7] M. R˚uˇziˇcka, Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in Mathematics, 1748, Springer-Verlag, Berlin, 2000.
[8] X. Fan and D. Zhao, On the spaces L^p(x) (Ω) and W^m,p(x) (Ω), J. Math. Anal. Appl. 263 (2001), 424–446.

Year 2010, Volume: 7 Issue: 2, - , 01.04.2010

[1] O. M. Buhrii and R. A. Mashiyev, Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity, Nonlinear Anal.-Theor. 70 (2009), 2325–2331.
[2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American Mathematical Society, Boston, MA 2000.
[3] O. Kov´aˇcik and J. R´akosn´ık, On spaces L^p(x) and W^k,p(x) , Czech. Math. J. 41 (1991), 592–618.
[4] R. Mashiyev, Some properties of variable Sobolev capacity, Taiwan. J. Math. 12 (2008), 671–678.
[5] A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems, Nauka, Moscow 1974.
[6] P. Harjulehto and P. H¨ast¨o, Lebesgue points in variable exponent spaces, Ann. Acad. Sci. Fenn.-M. 29 (2004), 295–306.
[7] M. R˚uˇziˇcka, Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in Mathematics, 1748, Springer-Verlag, Berlin, 2000.
[8] X. Fan and D. Zhao, On the spaces L^p(x) (Ω) and W^m,p(x) (Ω), J. Math. Anal. Appl. 263 (2001), 424–446.

There are 8 citations in total.

APA	Mashiyev, R. A. (2010). Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. Cankaya University Journal of Science and Engineering, 7(2).
AMA	Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. April 2010;7(2).
Chicago	Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering 7, no. 2 (April 2010).
EndNote	Mashiyev RA (April 1, 2010) Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. Cankaya University Journal of Science and Engineering 7 2
IEEE	R. A. Mashiyev, “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”, CUJSE, vol. 7, no. 2, 2010.
ISNAD	Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering 7/2 (April2010).
JAMA	Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. 2010;7.
MLA	Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering, vol. 7, no. 2, 2010.
Vancouver	Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. 2010;7(2).