Article Dans Une Revue Journal of Optimization Theory and Applications Année : 2020

Existence of Solutions for Implicit Obstacle Problems of Fractional Laplacian Type Involving Set-Valued Operators

Van Thien Nguyen
Shengda Zeng

Résumé

Abstract 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.

Dates et versions

hal-04791735 , version 1 (19-11-2024)

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Citer

Dumitru Motreanu, Van Thien Nguyen, Shengda Zeng. Existence of Solutions for Implicit Obstacle Problems of Fractional Laplacian Type Involving Set-Valued Operators. Journal of Optimization Theory and Applications, 2020, 187 (2), pp.391-407. ⟨10.1007/s10957-020-01752-4⟩. ⟨hal-04791735⟩

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