The Boundedness of the Solutions of Degenerate Divergent Linear Elliptic Equations

Authors

  • Kerimova M. Institute of Mathematics and Mechanics, V.Bahabzade 9, AZ 1141, Baku, Azerbaijan

DOI:

https://doi.org/10.53555/ms.v4i11.787

Keywords:

degenerate, elliptic equations, boundedness

Abstract

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

Downloads

Download data is not yet available.

References

Alt. H. W. and Luckhaus S.(1983) "Qusilinear elliptic-parabolic differential equations", Math. Z., 183, 311-341

P.H. Benilan and P.Wittbold, (1996) "On mind and weak solutions of elliptic-parabolic systens", Adv. Differ. Equ. vol. 1, 1053-1073.

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.

Gajewski, H.,(1994), On a variant of monotonicity and its application to differential equations, Nonlinear Analysis:TMA 22,73{80.

Gajewski, H., Groger, K. (1996). ReactionDiffusion Processes of Electrically Charged Species. Mathematische Nachrichten, 177(1), 109-130.

Gajewski, H., Zacharias, K., (1998), Global Behaviour of a ReactionDiffusion System Modelling Chemotaxis. Mathematische Nachrichten, 195(1), 77-114.

Gilbarg, D., N.S. Trudinger,(1983), Elliptic partial differential equations of second order, Springer-Verlag, Berlin, Heidelberg.

Ladyzhenskaya O.A. and Uraltseva N.N.(1973), "Linear and quailinear elliptic equations" Nauka, Moscow, (Russian)

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.

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.

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.

Downloads

Published

2018-12-31

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