Geodesic
A Ky Fan minimax inequality approach to implicit obstacle problems of fractional Laplacian type involving a generalized gradient operator
Minimax theory and its applications, Tome 9 (2024) no. 2
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We study the existence of solutions of a constrained obstacle problem driven by a generalized fractional Laplace operator and involving Clarke’s generalized gradient, where the constraint depends on the unknown state variable. We use a method based on the Ky Fan minimax inequality approach and recent developments in that theory. Our results are new and improve considerably recent results in literature
Mots-clés : Hemivariational inequalities, pseudomonotone operators, equilibrium problems, maxi mal bifunctions, pseudomonotone bifunctions 
@article{MTA_2024_9_2_a2,
     author = {Ouayl Chadli and Ram N. Mohapatra and Abdellatif Koukkous},
     title = {A {Ky} {Fan} minimax inequality approach to implicit obstacle problems of fractional {Laplacian} type involving a generalized gradient operator},
     journal = {Minimax theory and its applications},
     year = {2024},
     volume = {9},
     number = {2},
     zbl = {1562.49009},
     url = {http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a2/}
}
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Ouayl Chadli; Ram N. Mohapatra; Abdellatif Koukkous. A Ky Fan minimax inequality approach to implicit obstacle problems of fractional Laplacian type involving a generalized gradient operator. Minimax theory and its applications, Tome 9 (2024) no. 2. http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a2/