On boundary variational–hemivariational inequalities of elliptic type
On boundary variational–hemivariational inequalities of elliptic type
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DOI：
10.1017/s0308210509000808
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发表时间：
2010-03
期刊：
影响因子：
--
通讯作者：
Zhenhai Liu
中科院分区：
文献类型：
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作者：
Zhenhai Liu
本文研究了椭圆型边界变分半变分不等式在共振和非共振时解的存在性。利用Clarke广义梯度的概念和第一特征函数的性质，我们在椭圆型变分半变分不等式的非光滑框架下建立了Landesman-Lazer理论。
This paper investigates the existence of solutions for boundary variational–hemivariational inequalities of elliptic type at resonance as well as at non-resonance. Using the notion of the generalized gradient of Clarke and the property of the first eigenfunction, we also build a Landesman–Lazer theory in the non-smooth framework of variational–hemivariational inequalities of elliptic type.