Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials

Vagif S. Guliyev; Ramin V. Guliyev; Mehriban N. Omarova; Maria Alessandra Ragusa

doi:10.3934/dcdsb.2019260

Article Contents

2020, Volume 25, Issue 2: 671-690. Doi: 10.3934/dcdsb.2019260

This issue Previous Article Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem Next Article Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence

Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials

1.
S.M. Nikolskii Institute of Mathematics at RUDN University, 117198 Moscow, Russia
2.
Department of Mathematics, Dumlupinar University, 43100 Kutahya, Turkey
3.
Institute of Mathematics and Mechanics of NAS of Azerbaijan, AZ1141 Baku, Azerbaijan
4.
Baku State University, AZ1141 Baku, Azerbaijan
5.
Dipartimento di Matematica e Informatica, Universita di Catania, Catania, Italy

^* Corresponding author: maragusa@dmi.unict.it (Maria Alessandra Ragusa)
^* Corresponding author: maragusa@dmi.unict.it (Maria Alessandra Ragusa)

In honor of the 60-th birthday of Juan J. Nieto
The research of V.S. Guliyev and M. Omarova was partially supported by the grant of 1st Azerbaijan Russia Joint Grant Competition (Grant No. EIF-BGM-4-RFTF-1/2017-21/01/1).
The research of V.S. Guliyev and M.A. Ragusa are partially supported by the Ministry of Education and Science of the Russian Federation (Agreement number N. 02.03.21.0008)

Received: January 31, 2018

Revised: September 30, 2018

Early access: November 2019

Published: February 2020

The research of V.S. Guliyev and M.A. Ragusa are partially supported by the Ministry of Education and Science of the Russian Federation (Agreement number N. 02.03.21.0008)

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We establish the boundedness of some Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class.

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Mathematics Subject Classification: Primary: 42B20, 42B25, 42B35; Secondary: 35J10, 47H50.

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