Research Article
Nontrivial Solutions for Klein-Gordon-Maxwell Systems with Sign-changing Potentials
https://doi.org/10.21203/rs.3.rs-1770008/v1
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This paper is concerned with the nonlinear Klein-Gordon-Maxwell systems. Unlike all known results in the literature, the Schrödinger operator −∆ + V is allowed to be indefinite and the weaker superlinear conditions instead of the common 4-superlinear conditions on f. By combining a local linking argument and Morse theory, we obtain that the system admits a nontrivial solution.
Mathematics Subject Classification(2010): 35J60; 35J10
Klein-Gordon-Maxwell systems
Sign-changing potential
Morse theory
Variational methods
No competing interests reported.
Editorial decision: Major revision
23 Sep, 2022
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You are reading this latest preprint version