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Existence of Solutions for Implicit Obstacle Problems of Fractional Laplacian Type Involving Set-Valued Operators
Journal of Optimization Theory and Applications ( IF 1.9 ) Pub Date : 2020-09-25 , DOI: 10.1007/s10957-020-01752-4 Dumitru Motreanu , Van Thien Nguyen , Shengda Zeng
Journal of Optimization Theory and Applications ( IF 1.9 ) Pub Date : 2020-09-25 , DOI: 10.1007/s10957-020-01752-4 Dumitru Motreanu , Van Thien Nguyen , Shengda Zeng
The paper is devoted to a new kind of implicit obstacle problem given by a fractional Laplacian-type operator and a set-valued term, which is described by a generalized gradient. An existence theorem for the considered implicit obstacle problem is established, using a surjectivity theorem for set-valued mappings, Kluge’s fixed point principle and nonsmooth analysis.
中文翻译:
包含集值算子的分数拉普拉斯型隐式障碍问题解的存在性
该论文致力于研究由分数拉普拉斯型算子和集合值项给出的一种新型隐式障碍问题,该问题由广义梯度描述。利用集值映射的满射定理、克鲁格不动点原理和非光滑分析,建立了所考虑的隐性障碍问题的存在定理。
更新日期:2020-09-25
中文翻译:
包含集值算子的分数拉普拉斯型隐式障碍问题解的存在性
该论文致力于研究由分数拉普拉斯型算子和集合值项给出的一种新型隐式障碍问题,该问题由广义梯度描述。利用集值映射的满射定理、克鲁格不动点原理和非光滑分析,建立了所考虑的隐性障碍问题的存在定理。