Abstract
We study a class of nonlocal elliptic equations on a bounded domain
. For
(
), by the Lax–Milgram theorem and the De Giorgi iteration, we prove the existence and uniqueness of
solution. Furthermore, we investigate the existence of densities for measure-valued solutions to nonhomogeneous measure-valued nonlocal elliptic equations.
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Acknowledgements
The authors sincerely thank the referees and the editors for their helpful comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Jinlong Wei http://orcid.org/0000-0002-9182-4587
Yanbin Tang http://orcid.org/0000-0001-7445-2817