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Existence results for double phase implicit obstacle problems involving multivalued operators
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2020-09-17 , DOI: 10.1007/s00526-020-01841-2
Shengda Zeng , Yunru Bai , Leszek Gasiński , Patrick Winkert

In this paper we study implicit obstacle problems driven by a nonhomogenous differential operator, called double phase operator, and a multivalued term which is described by Clarke’s generalized gradient. Based on a surjectivity theorem for multivalued mappings, Kluge’s fixed point principle and tools from nonsmooth analysis, we prove the existence of at least one solution.



中文翻译:

涉及多值算子的双相隐式障碍问题的存在性结果

在本文中,我们研究了由非均质微分算子(称为双相算子)和由克拉克广义梯度描述的多值项驱动的隐式障碍问题。基于多值映射的外射定理,非光滑分析的Kluge定点原理和工具,我们证明了至少一个解的存在。

更新日期:2020-09-18
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