Publication detail

Fractional Choquard logarithmic equations with Stein-Weiss potential

SHUAI, Y. RADULESCU, V. CHEN, S. WEN, L.

Original Title

Fractional Choquard logarithmic equations with Stein-Weiss potential

Type

journal article in Web of Science

Language

English

Original Abstract

In the present paper, we are concerned with the following fractional $ p $-Laplacian Choquard logarithmic equation. Under mild conditions and combining variational and topological methods, we obtain the existence of axially symmetric solutions both in the exponential subcritical case and in the exponential critical case. We point out that we take advantage of some refined analysis techniques to get over the difficulty carried by the competition of the Choquard logarithmic term and the Stein-Weiss nonlinearity. Moreover, in the exponential critical case, we extend the nonlinearities to more general cases compared with the existing results.

Keywords

Choquard logarithmic equations;Exponential growth;Critical exponential growth;Trudinger-Moser inequality

Authors

SHUAI, Y.; RADULESCU, V.; CHEN, S.; WEN, L.

Released

1. 10. 2023

Publisher

Academic Press Inc.

ISBN

1096-0813

Periodical

Journal of Mathematical Analysis and Applications

Year of study

526

Number

1

State

United States of America

Pages from

1

Pages to

45

Pages count

45

URL

https://www.sciencedirect.com/science/article/pii/S0022247X23002172

BibTex

@article{BUT183937,
  author="Yuan {Shuai} and Vicentiu {Radulescu} and Sitong {Chen} and Lixi {Wen}",
  title="Fractional Choquard logarithmic equations with Stein-Weiss potential",
  journal="Journal of Mathematical Analysis and Applications",
  year="2023",
  volume="526",
  number="1",
  pages="1--45",
  doi="10.1016/j.jmaa.2023.127214",
  issn="1096-0813",
  url="https://www.sciencedirect.com/science/article/pii/S0022247X23002172"
}