Inequalities for Partial Derivatives and their Applications

Canadian mathematical bulletin

Dinh Thanh Duc¹  Nguyen Du Vi Nhan¹  Nguyen Tong Xuan¹ 

[1] Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam

关键词: inequality for integral;    Opial-type inequality;    Hölder's inequality;    partial differential operator;    partial differential equation;   

DOI  :  10.4153/CMB-2015-020-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We present various weighted integral inequalities for partial derivatives acting on products and compositions of functions which are applied 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 partialdifferential equations.

【 授权许可】

Unknown