Coupled double phase obstacle systems involving nonlocal functions and multivalued convection terms
Coupled double phase obstacle systems involving nonlocal functions and multivalued convection terms
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DOI：
10.1007/s00605-023-01825-2
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发表时间：
2023-02
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影响因子：
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通讯作者：
Yongjian Liu;V. T. Nguyen;Patrick Winkert;Shengda Zeng
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文献类型：
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作者：
Yongjian Liu;V. T. Nguyen;Patrick Winkert;Shengda Zeng
本文研究一类新的双相算子驱动的多值右端依赖于解的梯度的耦合椭圆障碍问题。基于Kenmochi（广岛Math J 4：229-263，1974）关于多值映象的广义混合变分不等式的抽象存在定理，我们证明了耦合椭圆障碍系统弱解集的非空性和紧性.
In this paper we study a new kind of coupled elliptic obstacle problems driven by double phase operators and with multivalued right-hand sides depending on the gradients of the solutions. Based on an abstract existence theorem for generalized mixed variational inequalities involving multivalued mappings due to Kenmochi (Hiroshima Math J 4:229–263, 1974), we prove the nonemptiness and compactness of the weak solution set of the coupled elliptic obstacle system.