Abstract
AbstractThis paper is concerned with the nonlinear Klein–Gordon–Maxwell systems. Unlike all known results in the literature, the Schrödinger operator $-\Delta +V$
−
Δ
+
V
is allowed to be indefinite and the weaker superlinear conditions are imposed 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.
Funder
China Postdoctoral Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis