ON SOBOLEV-VISIK-DUBINSKII TYPE INEQUALITIES

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Published: Sep 1, 1999
DOI: https://doi.org/10.5556/j.tkjm.30.1999.4227
Keywords:
Sobolev-Visik-Dubinski1type inequalities functions of several inde­ pendent variables first order partial derivatives Holder's inequality arithmetic mean-·geometric mean inequality

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B. G. PACHPATTE
Department of Mathematics, Marathwada University, Aurangabad 431 004 (Maharashtra) India

Abstract




In the present paper we establish some new integral inequalities of the Sobolev-Visik­ Dubinskii type involving functions of several independent variables and their first order partial derivatives. The analysis used in the proofs is elementary and the obtained results provide new estimates on these types of inequalities.




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How to Cite
PACHPATTE, B. G. (1999). ON SOBOLEV-VISIK-DUBINSKII TYPE INEQUALITIES. Tamkang Journal of Mathematics, 30(3), 213–218. https://doi.org/10.5556/j.tkjm.30.1999.4227
Issue
Vol. 30 No. 3 (1999)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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