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Choquard equations with critical exponential nonlinearities in the zero mass case

Authors :
Giulio Romani
Source :
AIMS Mathematics, Vol 9, Iss 8, Pp 21538-21556 (2024)
Publication Year :
2024
Publisher :
AIMS Press, 2024.

Abstract

We investigate Choquard equations in $ \mathbb R^N $ driven by a weighted $ N $-Laplace operator with polynomial kernel and zero mass. Since the setting is limiting for the Sobolev embedding, we work with nonlinearities which may grow up to the critical exponential. We establish the existence of a positive solution by variational methods, complementing the analysis in [32], where the case of a logarithmic kernel was considered.

Details

Language :
English
ISSN :
20241046 and 24736988
Volume :
9
Issue :
8
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.2f9bc310e3dd4b2caa45cfb946314b9e
Document Type :
article
Full Text :
https://doi.org/10.3934/math.20241046?viewType=HTML