Classical results concerning Klein–Gordon–Maxwell type sys- tems are shortly reviewed and generalized to the setting of mixed local– nonlocal operators, where the nonlocal one is allowed to be nonpositive definite according to a real parameter. In this paper, we provide a range of parameter values to ensure the existence of solitary (standing) waves, obtained as Mountain Pass critical points for the associated energy func- tionals in two different settings, by considering two different classes of potentials: constant potentials and continuous, bounded from below, and coercive potentials.

Klein–Gordon–Maxwell equations driven by mixed local–nonlocal operators

Maicol Caponi;Enzo Vitillaro
2023

Abstract

Classical results concerning Klein–Gordon–Maxwell type sys- tems are shortly reviewed and generalized to the setting of mixed local– nonlocal operators, where the nonlocal one is allowed to be nonpositive definite according to a real parameter. In this paper, we provide a range of parameter values to ensure the existence of solitary (standing) waves, obtained as Mountain Pass critical points for the associated energy func- tionals in two different settings, by considering two different classes of potentials: constant potentials and continuous, bounded from below, and coercive potentials.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1557933
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