On Quasilinear Elliptic Hemivariational Inequalities
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摘要: 本文研究一类拟线性椭圆型H-半变分不等式,即研究具有非凸、非光滑泛函的椭圆型不等式。这类问题的研究来自力学。利用Clarke广义梯度和伪单调算子理论,我们证明了拟线性椭圆型H-半变分不等式解的存在性。Abstract: In the present paper,quasilinear elliptic hemivariational inequalities as a generalization to nonconvex functionals of the elliptic variational inequalities are studied.This extension is strongly motivated by various problems in mechanics.By using the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators,the existence of solutions is proved.
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Key words:
- hemivariational inequalities /
- elliptic problems /
- existence results
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