A Ky Fan Minimax Inequality Approach to Implicit Obstacle Problems of Fractional Laplacian Type Involving a Generalized Gradient Operator
Keywords:
Hemivariational inequalities, pseudomonotone operators, equilibrium problems, maxi mal bifunctions, pseudomonotone bifunctions.Abstract
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
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