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.

Variational methods for nonpositive mixed local–nonlocal operators

Maione, Alberto;Mugnai, Dimitri;Vecchi, Eugenio
2023-01-01

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.
2023
Asymptotically linear growth
Linking Theorem
Operators of mixed order
Saddle Point Theorem
Superlinear and subcritical growth
Variational methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1309654
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