Differential inclusion problems with convolution and discontinuous nonlinearities
Differential inclusion problems with convolution and discontinuous nonlinearities
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DOI：
10.3934/eect.2020056
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发表时间：
2020
影响因子：
1.5
通讯作者：
Yongjian Liu;Zhenhai Liu;D. Motreanu
中科院分区：
文献类型：
--
作者：
Yongjian Liu;Zhenhai Liu;D. Motreanu
The paper investigates a new type of differential inclusion problem driven by a weighted (p, q)-Laplacian and subject to Dirichlet boundary condition. The problem fully depends on the solution and its gradient. The main novelty is that the problem exhibits simultaneously a nonlocal term involving convolution with the solution and a multivalued term describing discontinuous nonlinearities for the solution. Results stating existence, uniqueness and dependence on parameters are established.
