International Journal For Research In Mathematics And Statistics

Vol. 4 No. 11 (2018): International Journal For Research In Mathematics And Statistics (ISSN: 2208-2662)
Articles

The Boundedness of the Solutions of Degenerate Divergent Linear Elliptic Equations

FULL TEXT PDF
  • Kerimova M.
Kerimova M.
Institute of Mathematics and Mechanics, V.Bahabzade 9, AZ 1141, Baku, Azerbaijan
DOI: https://doi.org/10.53555/ms.v4i11.787

Published 2018-12-31

Keywords

  • degenerate,
  • elliptic equations,
  • boundedness

How to Cite

M., K. (2018). The Boundedness of the Solutions of Degenerate Divergent Linear Elliptic Equations. International Journal For Research In Mathematics And Statistics, 4(11), 01–05. https://doi.org/10.53555/ms.v4i11.787

Copyright (c) 2018 International Journal For Research In Mathematics And Statistics (ISSN: 2208-2662)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Abstract

We prove the boundedness estimates of solutions for degenerate ellipticparabolic equations .

FULL TEXT PDF

Downloads

Download data is not yet available.

References

  1. Alt. H. W. and Luckhaus S.(1983) "Qusilinear elliptic-parabolic differential equations", Math. Z., 183, 311-341
  2. P.H. Benilan and P.Wittbold, (1996) "On mind and weak solutions of elliptic-parabolic systens", Adv. Differ. Equ. vol. 1, 1053-1073.
  3. Gadjiev T.S.,Gasanova G.H., Zulfaliyeva G.Z.(2017), A priori estimates for the solutions to a kind of degenerate elliptic-parabolic equations, Transactions of NAS of Azerbaijan, Issue Mathematics, 37 (1), 92-108.
  4. Gajewski, H.,(1994), On a variant of monotonicity and its application to differential equations, Nonlinear Analysis:TMA 22,73{80.
  5. Gajewski, H., Groger, K. (1996). ReactionDiffusion Processes of Electrically Charged Species. Mathematische Nachrichten, 177(1), 109-130.
  6. Gajewski, H., Zacharias, K., (1998), Global Behaviour of a ReactionDiffusion System Modelling Chemotaxis. Mathematische Nachrichten, 195(1), 77-114.
  7. Gilbarg, D., N.S. Trudinger,(1983), Elliptic partial differential equations of second order, Springer-Verlag, Berlin, Heidelberg.
  8. Ladyzhenskaya O.A. and Uraltseva N.N.(1973), "Linear and quailinear elliptic equations" Nauka, Moscow, (Russian)
  9. MOSER J., (1960), A new proof of De Giorgis theorem concerning the regularity problem for elliptic differential equations, Comm. Pure Appi. Math. 13, 457{468.
  10. Skrypnik I.V. (1994), Methods for analysis of nonlinear elliptic boundary value problems, Translations of mathematical monographs, v. 139. American Mathematical Society,Providence, R.I.
  11. Gadjiev T.S. , Kerimova M.N. (2013), On some estimations of solutions for degenerate elliptic-parabolic equations, Transactions of NAS of Azerbaijan, 33 (4), 57-72.