Open AccessON SOBOLEV-VISIK-DUBINSKII TYPE INEQUALITIES
Author(s) -
B. G. Pachpatte
Publication year - 1999
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.30.1999.4227
Subject(s) - mathematics , mathematical proof , inequality , sobolev space , type (biology) , pure mathematics , sobolev inequality , order (exchange) , algebra over a field , mathematical analysis , geometry , finance , economics , biology , ecology
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.