Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms

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...

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Main Author: Rovshan A. Bandaliyev
Format: Article
Language:English
Published: Texas State University 2016-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/316/abstr.html
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author Rovshan A. Bandaliyev
author_facet Rovshan A. Bandaliyev
author_sort Rovshan A. Bandaliyev
collection DOAJ
description 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.
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spelling doaj.art-c5cd87f8c80b4c138f200eeea03e0f3b2022-12-21T19:39:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-12-012016316,110Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed normsRovshan A. Bandaliyev0 Inst. of Math. and Mechanics of ANAS, Azerbaijan 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.http://ejde.math.txstate.edu/Volumes/2016/316/abstr.htmlTwo-dimensional Hardy operatorweight functionsLebesgue spaces with mixed norm
spellingShingle Rovshan A. Bandaliyev
Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms
Electronic Journal of Differential Equations
Two-dimensional Hardy operator
weight functions
Lebesgue spaces with mixed norm
title Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms
title_full Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms
title_fullStr Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms
title_full_unstemmed Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms
title_short Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms
title_sort connection of two nonlinear differential equations with a two dimensional hardy operator in weighted lebesgue spaces with mixed norms
topic Two-dimensional Hardy operator
weight functions
Lebesgue spaces with mixed norm
url http://ejde.math.txstate.edu/Volumes/2016/316/abstr.html
work_keys_str_mv AT rovshanabandaliyev connectionoftwononlineardifferentialequationswithatwodimensionalhardyoperatorinweightedlebesguespaceswithmixednorms