Published Paper

Inserted: 29 jul 2022
Last Updated: 1 jun 2023

Journal: Fractional Calculus and Applied Analysis
Volume: 26
Number: 3
Pages: 943-961
Year: 2023
Doi: 10.1007/s13540-023-00147-2

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