A multiplicity result for gradient-type systems with non-differentiable term

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• 作者：B. E. Breckner and Cs. Varga
• 关键词：locally Lipschitz function ; generalized directional derivative ; principle of symmetric criticality ; systems of hemivariational inequalities
• 刊名：Acta Mathematica Hungarica
• 出版年：2008
• 出版时间：January, 2008
• 年：2008
• 卷：118
• 期：1-2
• 页码：85-104
• 全文大小：390.0 KB

文摘

We prove the existence of multiple solutions of certain systems of hemivariational inequalities, using a recent idea of B. Ricceri. As a consequence of our main theorem we obtain the existence of multiple solutions of Schr?dinger type systems. Another application involves the principle of symmetric criticality.