Variational methods for nonpositive mixed local-nonlocal operators
Analysis of PDEs
2023-06-06 v2
Abstract
We prove the existence of a weak solution for boundary value problems driven by a mixed local--nonlocal operator. The main novelty is that such an operator is allowed to be nonpositive definite.
Cite
@article{arxiv.2207.14008,
title = {Variational methods for nonpositive mixed local-nonlocal operators},
author = {Alberto Maione and Dimitri Mugnai and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2207.14008},
year = {2023}
}