Research Article

Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces

Volume: 7 Number: 2 April 1, 2010
  • Rabil A. Mashiyev
EN

Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces

Abstract

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

Keywords

References

  1. [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. [2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American Mathematical Society, Boston, MA 2000.
  3. [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. [4] R. Mashiyev, Some properties of variable Sobolev capacity, Taiwan. J. Math. 12 (2008), 671–678.
  5. [5] A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems, Nauka, Moscow 1974.
  6. [6] P. Harjulehto and P. H¨ast¨o, Lebesgue points in variable exponent spaces, Ann. Acad. Sci. Fenn.-M. 29 (2004), 295–306.
  7. [7] M. R˚uˇziˇcka, Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in Mathematics, 1748, Springer-Verlag, Berlin, 2000.
  8. [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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Rabil A. Mashiyev This is me

Publication Date

April 1, 2010

Submission Date

November 1, 2010

Acceptance Date

-

Published in Issue

Year 2010 Volume: 7 Number: 2

APA
Mashiyev, R. A. (2010). Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. Cankaya University Journal of Science and Engineering, 7(2). https://izlik.org/JA95WH86ME
AMA
1.Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. 2010;7(2). https://izlik.org/JA95WH86ME
Chicago
Mashiyev, Rabil A. 2010. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering 7 (2). https://izlik.org/JA95WH86ME.
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
[1]R. A. Mashiyev, “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”, CUJSE, vol. 7, no. 2, Apr. 2010, [Online]. Available: https://izlik.org/JA95WH86ME
ISNAD
Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering 7/2 (April 1, 2010). https://izlik.org/JA95WH86ME.
JAMA
1.Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. 2010;7. Available at https://izlik.org/JA95WH86ME.
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, Apr. 2010, https://izlik.org/JA95WH86ME.
Vancouver
1.Rabil A. Mashiyev. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE [Internet]. 2010 Apr. 1;7(2). Available from: https://izlik.org/JA95WH86ME