Rovshan A. Bandaliyev
In this article we study a connection between two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norm. In particular, it is proved that the weight functions which are the coefficients of nonlinear differential equations are included in the estimate of the two-dimensional Hardy operator in this space.
Submitted February 5, 2016. Published December 12, 2016.
Math Subject Classifications: 46B50, 47B38, 34L30.
Key Words: Two-dimensional Hardy operator; weight functions; Lebesgue spaces with mixed norm.
Show me the PDF file (222 KB), TEX file for this article.
| Rovshan A. Bandaliyev |
Department of Mathematical Analysis
Institute of Mathematics and Mechanics of ANAS
Az 1141, B. Vahabzade str., 9
Return to the EJDE web page