Geodesic
Inequalities for Partial Derivatives and their Applications
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 486-496

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We present various weighted integral inequalities for partial derivatives acting on products and compositions of functions that are applied in order to establish some new Opial-type inequalities involving functions of several independent variables. We also demonstrate the usefulness of our results in the field of partial differential equations.
DOI : 10.4153/CMB-2015-020-6
Mots-clés : 26D10, 35A23, inequality for integral, Opial-type inequality, Hölder’s inequality, partial differential operator, partial differential equation 
Duc, Dinh Thanh; Nhan, Nguyen Du Vi; Xuan, Nguyen Tong. Inequalities for Partial Derivatives and their Applications. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 486-496. doi: 10.4153/CMB-2015-020-6
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     author = {Duc, Dinh Thanh and Nhan, Nguyen Du Vi and Xuan, Nguyen Tong},
     title = {Inequalities for {Partial} {Derivatives} and their {Applications}},
     journal = {Canadian mathematical bulletin},
     pages = {486--496},
     year = {2015},
     volume = {58},
     number = {3},
     doi = {10.4153/CMB-2015-020-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-020-6/}
}
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