Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
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发表时间：
2010
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通讯作者：
D. Motreanu;Patrick Winkert
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作者：
D. Motreanu;Patrick Winkert
本文研究了一类具有非齐次Neumann边界条件的变分-半变分不等式。证明了存在无界或收敛于零的整列解的充分条件。对于齐次Neumann边界条件，Marano和Motreanu [3]已得到这类结果。我们的方法是基于[3]中给出的抽象非光滑临界点结果。我们的结果的适用性证明了提供两个可验证的标准，解决问题的非光滑势和非零Neumann边界条件。
The aim of this paper is the study of variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition. Sufficient conditions for the existence of a whole sequence of solutions which is either unbounded or converges to zero are proved. For homogeneous Neumann boundary condition, results of this type have been obtained in Marano and Motreanu [3]. Our approach is based on abstract nonsmooth critical point results given in [3]. The applicability of our results is demonstrated by providing two verifiable criteria which address problems with nonsmooth potential and nonzero Neumann boundary condition.