Accepted Paper
Inserted: 29 jul 2022
Last Updated: 23 mar 2023
Journal: Fractional Calculus and Applied Analysis
Year: 2023
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.
Keywords: Variational methods, Operators of mixed order, Saddle Point Theorem, Linking Theorem, asymptotically linear growth, superlinear and subcritical growth