Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators
Analysis of PDEs
2023-11-07 v2
Abstract
Classical results concerning Klein-Gordon-Maxwell type systems 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 functionals in two different settings, by considering two different classes of potentials: constant potentials and continuous, bounded from below, and coercive potentials.
Keywords
Cite
@article{arxiv.2303.11663,
title = {Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators},
author = {Nicolò Cangiotti and Maicol Caponi and Alberto Maione and Enzo Vitillaro},
journal= {arXiv preprint arXiv:2303.11663},
year = {2023}
}
Comments
26 pages, 2 figures