Publication detail

Planar Choquard equations with critical exponential reaction and Neumann boundary condition

RAWAT, S. RADULESCU, V. SREENADH, K.

Original Title

Type

journal article in Web of Science

Language

English

Original Abstract

We study the existence of positive weak solutions for the following problem: (Formula presented.) where (Formula presented.) is a bounded domain in (Formula presented.) with smooth boundary, (Formula presented.) is a bounded measurable function on (Formula presented.), (Formula presented.) is nonnegative real number, (Formula presented.) is the unit outer normal to (Formula presented.), (Formula presented.), and (Formula presented.). The functions (Formula presented.) and (Formula presented.) have critical exponential growth, while (Formula presented.) and (Formula presented.) are their primitives. The proofs combine the constrained minimization method with energy methods and topological tools.

Keywords

Cherrier inequality; Hardy–Littlewood–Sobolev inequality; Moser–Trudinger inequality; Nehari manifold; Neumann problem

Authors

RAWAT, S.; RADULESCU, V.; SREENADH, K.

Released

26. 10. 2024

Publisher

Wiley

ISBN

1522-2616

Periodical

Mathematische Nachrichten

Year of study

297

Number

State

Federal Republic of Germany

Pages from

3847

Pages to

3869

Pages count

URL

https://onlinelibrary.wiley.com/doi/full/10.1002/mana.202400095

Full text in the Digital Library

http://hdl.handle.net/11012/250734

BibTex

@article{BUT193714,
  author="Sushmita {Rawat} and Vicentiu {Radulescu} and Konijeti {Sreenadh}",
  title="Planar Choquard equations with critical exponential reaction and Neumann boundary condition",
  journal="Mathematische Nachrichten",
  year="2024",
  volume="297",
  number="10",
  pages="3847--3869",
  doi="10.1002/mana.202400095",
  issn="1522-2616",
  url="https://onlinelibrary.wiley.com/doi/full/10.1002/mana.202400095"
}