Existence and Multiplicity of Solutions for Klein-Gordon-Maxwell Systems with Radial Potentials
This article concerns the following Klein-Gordon-Maxwell system-Δu+V(|x|)u-(2ω+φ)φu=λQ(|x|)f(u),x ∈ R3,{ Δφ-(ω+φ)u2,x ∈ R3,where w＞0 is a constant,λ＞0,V,Q are radial functions,which can be vanishing or coercive at infinity.When f satisfies local assumptions just in a neighborhood of the origin,existence and multiplicity of nontrivial radial solutions can be proved via variational methods and the dependence on the parameter λ of the solution to the system can be obtained.Our result completes some recent works concerning research on solutions of this system.
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