Planar Choquard equations with critical exponential reaction and Neumann boundary condition-Reference-Cited by-同舟云学术

Planar Choquard equations with critical exponential reaction and Neumann boundary condition

Published:2024-08-09 Issue: Volume: Page:
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Rawat Sushmita¹,Rădulescu Vicenţiu D.²³⁴⁵⁶^ORCID,Sreenadh K.¹^ORCID

Affiliation:

1. Department of Mathematics Indian Institute of Technology Delhi New Delhi India

2. Faculty of Applied Mathematics AGH University of Kraków Kraków Poland

3. Department of Mathematics University of Craiova Craiova Romania

4. Brno University of Technology Faculty of Electrical Engineering and Communication Brno Czech Republic

5. Simion Stoilow Institute of Mathematics of the Romanian Academy Bucharest Romania

6. Department of Mathematics Zhejiang Normal University Jinhua Zhejiang China

Abstract

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

Funder

University Grants Commission

Publisher

Wiley

Link

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

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