Abstract
This paper is concerned with the existence and multiplicity of solutions for the following Neumann problems with mean curvature operator in the Minkowski space: ( u ′ 1 − u ′ 2 ) ′ + a ( x ) g ( u ) = μ + p ( x ) , x ∈ ( 0 , T ) , u ′ ( 0 ) = 0 = u ′ ( T ) , where a,p∈L∞(0,T), μ∈ℝ, and g∈C1(ℝ) satisfies the coercivity condition g(u)→+∞ as |u|→+∞. We show the existence results of two solutions in terms of the value of the parameter μ via the shooting method.
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