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This article discusses the following elliptic half variational inequality problem : Ω (?) RN (N ≥ 3) is a bounded domain with smooth boundary , F (x, u): Ω × R → R is a variable x is measurable variables u is locally Lipschitz continuous function , and satisfies the double - resonance condition : ( ? ) F ( x , u ) Clarke generalized gradient of the function F (x, u) variables u In this paper, the use of non-smooth form surround theorem, the the above elliptic Hemivariational inequality problem in a non- trivial solution .
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