Nontrivial Solutions for Resonant Hemivariational Inequalities

Nontrivial Solutions for Resonant Hemivariational Inequalities
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DOI:
10.1007/s10898-005-4388-1
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发表时间:
2006-03
影响因子:
1.8
通讯作者:
Z. Denkowski;L. Gasiński;N. Papageorgiou
Z. Denkowski;L. Gasiński;N. Papageorgiou
中科院分区:
数学3区
文献类型:
--
作者:
Z. Denkowski;L. Gasiński;N. Papageorgiou

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研究了一类共振半线性椭圆型半变分不等式。在超势的Clarke次微分具有强共振的假设下,利用非光滑临界点理论,证明了该问题非平凡解的存在性。
We study a resonant semilinear elliptic hemivariational inequality. Under some assumptions of strong resonance on the Clarke subdifferential of the superpotential, and using nonsmooth critical point theory, the existence of a nontrivial solution of the problem is shown.