Choquard equations with critical exponential nonlinearities in the zero mass case-Reference-Cited by-同舟云学术

Choquard equations with critical exponential nonlinearities in the zero mass case

Published:2024 Issue:8 Volume:9 Page:21538-21556
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Romani Giulio

Abstract

<p>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 <sup>[<xref ref-type="bibr" rid="b32">32</xref>]</sup>, where the case of a logarithmic kernel was considered.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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