ON SOBOLEV-VISIK-DUBINSKII TYPE INEQUALITIES

Authors

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

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

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.

References

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Published

1999-09-01

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

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Papers