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Choquard equations with critical exponential nonlinearities in the zero mass case.

Authors :
Romani, Giulio
Source :
AIMS Mathematics; 2024, Vol. 9 Issue 8, p21538-21556, 19p
Publication Year :
2024

Abstract

We investigate Choquard equations in RN driven by a weighted R<superscript>N</superscript>-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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
POLYNOMIAL operators
EQUATIONS

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
8
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
178904325
Full Text :
https://doi.org/10.3934/math.20241046