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arXiv · 2207.14008

Variational methods for nonpositive mixed local-nonlocal operators

Alberto Maione·Dimitri Mugnai·Eugenio Vecchi
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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.

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Alberto Maione, Dimitri Mugnai, Eugenio Vecchi. 2022-07-28. Variational methods for nonpositive mixed local-nonlocal operators. https://doi.org/10.1007/s13540-023-00147-2

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